26 (number)

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

25 26 27
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Cardinaltwenty-six
Ordinal26th
(twenty-sixth)
Factorization2 × 13
Divisors1, 2, 13, 26
Greek numeralΚϚ´
Roman numeralXXVI
Binary110102
Ternary2223
Octal328
Duodecimal2212
Hexadecimal1A16

In mathematics

Poster designed to depict the speciality of the number 26

26 is the only integer that is one greater than a square (52 + 1) and one less than a cube (33 − 1).[1]

A Icosihexagon has twenty-six sides.[2]

A rhombicuboctahedron has twenty-six faces.[3]

When a 3 × 3 × 3 cube is made of twenty-seven unit cubes, twenty-six of them are viewable as the exterior layer.

There are 26 sporadic groups.[4]

The 26-dimensional Lorentzian unimodular lattice II25,1 plays a significant role in sphere packing problems and the classification of finite simple groups. In particular, the Leech lattice is obtained in a simple way as a subquotient.

26 is the smallest number that is both a nontotient and a noncototient number.

Properties of its positional representation in certain radixes

Twenty-six is a repdigit in base three (2223) and in base twelve (2212).

In base ten, 26 is the smallest number that is not a palindrome to have a square (262 = 676) that is a palindrome.

In science

Astronomy

In religion

  • 26 is the gematric number, being the sum of the Hebrew characters (Hebrew: יהוה) being the name of the god of Israel – YHWH (Yehowah).
  • GOD=26=G7+O15+D4 in Simple6,74 English7,74 Gematria8,74 ('The Key': A=1, B2, C3, ..., Z26).
  • The Greek Strongs number G26 is "Agape", which means "Love".
  • The expression "For His mercy endures forever" is found verbatim in English and the original Hebrew 26 times in Psalm 136. The expression is found once in each of the 26 verses.
  • According to Jewish chronology, God gave the Torah in the 26th generation since Creation.

In sports

  • The number of complete miles in a marathon (26 miles and 385 yards).[5]
  • Effective in 2020, the size of the full roster on a Major League Baseball team, except for regular-season games on or after September 1, when teams expand their rosters to 28 players.
  • The number of holes in a floorball ball.
  • The maximum capacity of cars allowed to compete in an official Formula One Grand Prix race.

In other fields

Twenty-six is:

26 is:

See also

References

  1. "The number 26, between 25 and 27" (PDF). Retrieved 2012-06-05.
  2. "polygon". www.2dcurves.com. Retrieved 2021-02-02.
  3. Saiber, Arielle. Measured Words: Computation and Writing in Renaissance Italy. University of Toronto Press. p. 51. ISBN 978-0-8020-3950-7. large, transparent rhombicuboctahedron (a polyhedron with twenty-six faces,
  4. Wilson, Robert (2009-12-14). The Finite Simple Groups. Springer Science & Business Media. p. 183. ISBN 978-1-84800-987-5. In this chapter we introduce the 26 sporadic simple groups.
  5. "Definition of MARATHON". www.merriam-webster.com. Retrieved 2020-08-12.
  6. "Twenty-Six". www.goodreads.com. Retrieved 2020-08-13.
  7. 26 - Paramore | Song Info | AllMusic, retrieved 2020-08-12
  8. 26 - Catfish and the Bottlemen | Song Info | AllMusic, retrieved 2020-08-12
  9. "26 | Album Discography". AllMusic. Retrieved 2020-08-13.
  10. "Twenty-six." Encyclopædia Britannica. Encyclopædia Britannica 2007 Ultimate Reference Suite. Chicago: Encyclopædia Britannica, 2007.
  11. Leemann, Adrian (2012-07-04). Swiss German Intonation Patterns. John Benjamins Publishing. p. 69. ISBN 978-90-272-7384-0. There are 26 Cantons in Switzerland, ...
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