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From Wikipedia, the free encyclopedia

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

50

0 10 20 30 40 50 60 70 80 90

Cardinal fifty
Ordinal 50th
(fiftieth)
Numeral system quinquagesimal
Factorization 2 \cdot 5^2
Divisors 1, 2, 5, 10, 25, 50
Roman numeral L
Binary 1100102
Octal 628
Duodecimal 4212
Hexadecimal 3216

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

Contents

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 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.

In science

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Astronomy

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

In sports

In other fields

Fifty is:

Historical years

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


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