50 (number)
Encyclopedia
This article discusses the number fifty. For the year 50 CE, see 50
. For other uses of 50, see 50 (disambiguation)
50 (fifty) is the natural number
following 49
and preceding 51.
.
There is no solution to the equation φ
(x) = 50, making 50 a nontotient
. Nor is there a solution to the equation x - φ(x) = 50, making 50 a noncototient
.
The aliquot sum of 50 is 43
and its aliquot sequence
is (50,43,1,0). Fifty is itself the aliquot sum of 40
and 94
.
50
Year 50 was a common year starting on Thursday of the Julian calendar. At the time, it was known as the Year of the Consulship of Vetus and Nerullinus...
. For other uses of 50, see 50 (disambiguation)
50 (disambiguation)
50 is the year 50 CE.50 or fifty may also refer to:*50 Cent, American rapper*50 *50 BCE, the year 50 BCE*Labatt 50, a Canadian beer...
50 (fifty) is the natural number
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
following 49
49 (number)
49 is the natural number following 48 and preceding 50.-In mathematics:* Forty-nine is the square of seven and is therefore the fourth squared prime number.The aliquot sum of forty-nine is 8...
and preceding 51.
In mathematics
Fifty is the smallest number that is the sum of two non-zero square numbers in two distinct ways: 50 = 12 + 72 = 52 + 52. It is also the sum of three squares, 50 = 32 + 42 + 52. It is a Harshad numberHarshad number
A Harshad number, or Niven number in a given number base, is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The word "Harshad" comes from the Sanskrit + , meaning joy-giver. The Niven...
.
There is no solution to the equation φ
Euler's totient function
In number theory, the totient \varphi of a positive integer n is defined to be the number of positive integers less than or equal to n that are coprime to n In number theory, the totient \varphi(n) of a positive integer n is defined to be the number of positive integers less than or equal to n that...
(x) = 50, making 50 a nontotient
Nontotient
In number theory, a nontotient is a positive integer n which is not in the range of Euler's totient function φ, that is, for which φ = n has no solution. In other words, n is a nontotient if there is no integer x that has exactly n coprimes below it. All odd numbers are nontotients, except 1,...
. Nor is there a solution to the equation x - φ(x) = 50, making 50 a noncototient
Noncototient
In mathematics, a noncototient is a positive integer n that cannot be expressed as the difference between a positive integer m and the number of coprime integers below it. That is, m − φ = n, where φ stands for Euler's totient function, has no solution for m...
.
The aliquot sum of 50 is 43
43 (number)
43 is the natural number following 42 and preceding 44.- In mathematics :Forty-three is the 14th smallest prime number. The previous is forty-one, with which it comprises a twin prime, and the next is forty-seven. 43 is the smallest prime that is not a Chen prime...
and its aliquot sequence
Aliquot sequence
In mathematics, an aliquot sequence is a recursive sequence in which each term is the sum of the proper divisors of the previous term. The aliquot sequence starting with a positive integer k can be defined formally in terms of the sum-of-divisors function σ1 in the following way:For example, the...
is (50,43,1,0). Fifty is itself the aliquot sum of 40
40 (number)
40 is the natural number following 39 and preceding 41.Despite being related to the word "four" , 40 is spelled "forty", and not "fourty"...
and 94
94 (number)
94 is the natural number following 93 and preceding 95.-In mathematics:Ninety-four is the twenty-ninth distinct semiprime and the fourteenth of the form...
.
In science
- The atomic numberAtomic numberIn chemistry and physics, the atomic number is the number of protons found in the nucleus of an atom and therefore identical to the charge number of the nucleus. It is conventionally represented by the symbol Z. The atomic number uniquely identifies a chemical element...
of tinTinTin is a chemical element with the symbol Sn and atomic number 50. It is a main group metal in group 14 of the periodic table. Tin shows chemical similarity to both neighboring group 14 elements, germanium and lead and has two possible oxidation states, +2 and the slightly more stable +4... - The fifth magic numberMagic number (physics)In nuclear physics, a magic number is a number of nucleons such that they are arranged into complete shells within the atomic nucleus...
in nuclear physics
In religion
- In KabbalahKabbalahKabbalah/Kabala is a discipline and school of thought concerned with the esoteric aspect of Rabbinic Judaism. It was systematized in 11th-13th century Hachmei Provence and Spain, and again after the Expulsion from Spain, in 16th century Ottoman Palestine...
, there are 50 Gates of Wisdom (or Understanding) and 50 Gates of Impurity - The traditional number of years in a jubileeGolden JubileeA Golden Jubilee is a celebration held to mark a 50th anniversary.- In Thailand :King Bhumibol Adulyadej, the world's longest-reigning monarch, celebrated his Golden Jubilee on 9 June 1996.- In the Commonwealth Realms :...
period
In sports
- The jersey numberSquad numberIn team sports, the squad number, shirt number, jersey number, sweater number, uniform number or simply a number is the number worn on a player's uniform, to identify and distinguish each player from others wearing the same or similar uniforms...
50 has been retired by a number of North American sports teams in honor of past playing greats or other figures.- In Major League BaseballMajor League BaseballMajor League Baseball is the highest level of professional baseball in the United States and Canada, consisting of teams that play in the National League and the American League...
:- The Los Angeles Angels of AnaheimLos Angeles Angels of AnaheimThe Los Angeles Angels of Anaheim are a professional baseball team based in Anaheim, California, United States. The Angels are a member of the Western Division of Major League Baseball's American League. The "Angels" name originates from the city in which the team started, Los Angeles...
, for coachCoach (baseball)In baseball, a number of coaches assist in the smooth functioning of a team. They are assistants to the manager, or head coach, who determines the lineup and decides how to substitute players during the game...
Jimmie ReeseJimmie ReeseJimmie Reese was a Major League Baseball second baseman, third baseman, and coach.In order to avoid the brunt of prejudice against Jewish...
, who served with the team when it was known as the California Angels.
- The Los Angeles Angels of Anaheim
- In the NBANational Basketball AssociationThe National Basketball Association is the pre-eminent men's professional basketball league in North America. It consists of thirty franchised member clubs, of which twenty-nine are located in the United States and one in Canada...
:- The San Antonio SpursSan Antonio SpursThe San Antonio Spurs are an American professional basketball team based in San Antonio, Texas. They are part of the Southwest Division of the Western Conference in the National Basketball Association ....
, for Hall of Famer David RobinsonDavid Robinson (basketball)David Maurice Robinson is a retired American NBA basketball player, who played center for the San Antonio Spurs for his entire NBA career. Based on his prior service as an officer in the United States Navy, Robinson earned the nickname "The Admiral". He and teammate power forward Tim Duncan were...
.
- The San Antonio Spurs
- In the NFLNational Football LeagueThe National Football League is the highest level of professional American football in the United States, and is considered the top professional American football league in the world. It was formed by eleven teams in 1920 as the American Professional Football Association, with the league changing...
:- The New York GiantsNew York GiantsThe New York Giants are a professional American football team based in East Rutherford, New Jersey, representing the New York City metropolitan area. The Giants are currently members of the Eastern Division of the National Football Conference in the National Football League...
, for Hall of FamerPro Football Hall of FameThe Pro Football Hall of Fame is the hall of fame of professional football in the United States with an emphasis on the National Football League . It opened in Canton, Ohio, on September 7, 1963, with 17 charter inductees...
Ken StrongKen StrongElmer Kenneth Strong, Jr. was a college and professional American football player. After a college career as multi-year All-American at New York University, he went on to play professional football. As a halfback with a 14-year career he played from 1929–1937, 1939, 1944-1947...
.
- The New York Giants
- No NHLNational Hockey LeagueThe National Hockey League is an unincorporated not-for-profit association which operates a major professional ice hockey league of 30 franchised member clubs, of which 7 are currently located in Canada and 23 in the United States...
team has retired the number, which is not frequently issued.
- In Major League Baseball
- The jersey number 50 has also been retiredHonored North Carolina Tar Heels men's basketball playersForty-three former North Carolina men's basketball players are honored in the Dean E. Smith Center with banners representing their numbers hung from the rafters...
by the men's basketball programNorth Carolina Tar Heels men's basketballThe North Carolina Tar Heels men's basketball program is the intercollegiate men's basketball of the University of North Carolina at Chapel Hill, and is considered one of the most successful programs in NCAA history...
of the University of North CarolinaUniversity of North Carolina at Chapel HillThe University of North Carolina at Chapel Hill is a public research university located in Chapel Hill, North Carolina, United States...
for Tyler HansbroughTyler HansbroughAndrew Tyler Hansbrough is an American basketball player for the Indiana Pacers. Hansbrough completed a college basketball career with the North Carolina Tar Heels men's basketball team in 2009, and was drafted into the NBA by the Indiana Pacers with the 13th pick of the 1st round of the 2009 NBA...
.
In other fields
Fifty is:- There are 50 states in the United States of America. The TV show Hawaii Five-OHawaii Five-OHawaii Five-O is an American police procedural drama series produced by CBS Productions and Leonard Freeman. Set in Hawaii, the show originally aired for twelve seasons from 1968 to 1980, and continues in reruns. The show featured a fictional state police unit run by Detective Steve McGarrett,...
is so called because HawaiiHawaiiHawaii is the newest of the 50 U.S. states , and is the only U.S. state made up entirely of islands. It is the northernmost island group in Polynesia, occupying most of an archipelago in the central Pacific Ocean, southwest of the continental United States, southeast of Japan, and northeast of...
is the 50th state - 5-O (Five-Oh) - Slang for police officers and/or a warning that police are approaching. Derived from the television show Hawaii Five-O
- A calibre of ammunition (0.50 inches: see .50 BMG.50 BMGThe .50 Browning Machine Gun or 12.7×99mm NATO is a cartridge developed for the Browning .50 caliber machine gun in the late 1910s. Entering service officially in 1921, the round is based on a greatly scaled-up .30-06 cartridge...
) - In millimeters, the focal lengthFocal lengthThe focal length of an optical system is a measure of how strongly the system converges or diverges light. For an optical system in air, it is the distance over which initially collimated rays are brought to a focus...
of the normal lens in 35 mm photography - The percentagePercentageIn mathematics, a percentage is a way of expressing a number as a fraction of 100 . It is often denoted using the percent sign, “%”, or the abbreviation “pct”. For example, 45% is equal to 45/100, or 0.45.Percentages are used to express how large/small one quantity is, relative to another quantity...
(50%) equivalent to one half, so that the phrase "fifty-fifty" commonly expresses something divided equally in two; in business this is often denoted as being the ultimate in equal partnership - In years of marriage, the gold or "golden" wedding anniversaryWedding anniversary-Official recognition:In the Commonwealth realms, one can receive a message from the monarch for 60th, 65th, and 70th wedding anniversaries, and any wedding anniversary after that...
- Nickname 50 Cent50 CentCurtis James Jackson III , better known by his stage name 50 Cent, is an American rapper, entrepreneur, investor, record producer, and actor. He rose to fame with the release of his albums Get Rich or Die Tryin and The Massacre . Get Rich or Die Tryin has been certified eight times platinum by...
, a rapper. - A Canadian brand of beerBeerBeer is the world's most widely consumed andprobably oldest alcoholic beverage; it is the third most popular drink overall, after water and tea. It is produced by the brewing and fermentation of sugars, mainly derived from malted cereal grains, most commonly malted barley and malted wheat...
called 50 Ale created in 1950 by Labatt breweries to commemorate 50 years of partnership. It is a popular brand still sold today.