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50 (number)

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This article discusses the number fifty. For the year 50 CE, see 50. For other uses of 50, see 50 (disambiguation)

50
Cardinalfifty
Ordinal50th
(fiftieth)
Numeral systemquinquagesimal
Factorization2 \cdot 5^2
Divisors1, 2, 5, 10, 25, 50
Roman numeralL
Binary1100102
Octal628
Duodecimal4212
Hexadecimal3216

50 (fifty) is the natural number following 49 and preceding 51.

Contents

[edit] In mathematics

Fifty is the smallest number that is the sum of two [[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 number.

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.

[edit] In science

[edit] Astronomy

[edit] In religion

  • In Kabbalah, there are 50 Gates of Wisdom (or Understanding) and 50 Gates of Impurity
  • The traditional number of years in a jubilee period

[edit] In sports

[edit] In other fields

Fifty is:

[edit] Historical years

50 A.D., 50 B.C., 1950, 2050, etc.


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