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# 26 (number)

 ← 25 26 27 →
Cardinaltwenty-six
Ordinal26th
(twenty-sixth)
Factorization2 × 13
Divisors1, 2, 13, 26
Greek numeralΚϚ´
Roman numeralXXVI
Binary110102
Ternary2223
Quaternary1224
Quinary1015
Senary426
Octal328
Duodecimal2212
Vigesimal1620
Base 36Q36

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

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## 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 rhombicuboctahedron has twenty-six faces.

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

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.

### 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 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).

Twenty-six is: