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26 (number)

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From , the free encyclopedia

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26
Cardinaltwenty-six
Ordinal26th
(twenty-sixth)
Factorization 2 \cdot 13
Divisors1, 2, 13, 26
Roman numeralXXVI
Binary110102
Octal328
Duodecimal2212
Hexadecimal1A16

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

Contents

[edit] In mathematics

Pierre de Fermat proved that 26 is the only single number between a square (25 = 52) and a cube (27 = 33).[citation needed]

A rhombicuboctahedron has twenty-six sides.

When a 3x3x3 cube is made of twenty-seven unit cubes, twenty-six of them are visible parts of the exterior layer of cubes.

[edit] Properties of its positional representation in certain radixes

Twenty-six is a repdigit in base three (222) and in base twelve (22).

In base ten, 26 is the smallest number that is not a palindrome to have a square(26^2=676) which is a palindrome.

Twenty-six is the number of known five-digit prime quadruplets, the first of which is {13001, 13003, 13007, 13009}[1].

[edit] In science

[edit] Astronomy

  • The Saros number of the solar eclipse series which began on -2022 March 29 and ended on -724 May 17. The duration of Saros series 26 was 1298.1 years, and it contained 73 solar eclipses.
  • 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] Calendar years

In the Julian and Gregorian calendars:

[edit] References

  1. ^ Sequence A120120 in the OEIS: Number of n-digit prime quadruplets
  2. ^ "Twenty-six." Encyclopædia Britannica. Encyclopædia Britannica 2007 Ultimate Reference Suite. Chicago: Encyclopædia Britannica, 2007.

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