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26 (number) - Wikipedia, the free encyclopedia

26 (number)

From Wikipedia, the free encyclopedia

26 20 6

26 (twenty-six) is the natural number following 25 and preceding 27.


Cardinal 26
twenty-six
Ordinal 26th
twenty-sixth
Factorization 2 \cdot 13
Divisors 1, 2, 13, 26
Roman numeral XXVI
Binary 11010
Hexadecimal 1A

Contents

[edit] In mathematics

Twenty-six is a composite number, its proper divisors being 1, 2, and 13. 26 is the only number between a square number and a cube number, the numbers being 25 (5 squared) and 27 (3 cubed). This was first proved by Fermat.

There is no solution to the equation φ(x) = 26, making 26 a nontotient. Nor is there a solution to x - φ(x) = 26, making 26 a noncototient.

In the classification of finite simple groups there are 26 sporadic groups.

26 is a repdigit in base 3 (222).

26 is the 7th distinct biprime (2.13) and the 5th with 2 as its lowest non-unitary prime factor. The aliquot sum σ(n) of 26 is 16 with an aliquot sequence of 8 members ; (26,16,15,9,4,3,1,0), leading to 0 through the prime 3 the 6th composite number so to do.

[edit] In science

[edit] Astronomy

  • The Saros number of the lunar eclipse series which began on -1937 August 28 and ended on -386 March 17. The duration of Saros series 26 was 1550.5 years, and it contained 87 lunar eclipses.

[edit] In religion

[edit] In other fields

Twenty-six is:

[edit] Historical years

26 A.D., 26 B.C., 1926, 2026, etc.

[edit] Reference

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