# 92 (number)

(Redirected from Ninety-two)
 ← 91 92 93 →
Cardinalninety-two
Ordinal92nd
(ninety-second)
Factorization22 × 23
Divisors1, 2, 4, 23, 46, 92
Greek numeralϞΒ´
Roman numeralXCII
Binary10111002
Ternary101023
Senary2326
Octal1348
Duodecimal7812

92 (ninety-two) is the natural number following 91 and preceding 93.

## In mathematics

92 is a composite number; a square-prime, of the general form (p2, q) where q is a higher prime. It is the tenth of this form and the eighth of the form (22.q).

92 is the eighth pentagonal number, and an Erdős–Woods number, since it is possible to find sequences of 92 consecutive integers such that each inner member shares a factor with either the first or the last member.

With an aliquot sum of 76; itself a square-prime, within an aliquot sequence of five composite numbers (92,76,64,63,1,0) to the prime in the 63-aliquot tree.

For $n=8$ , there are 92 solutions in the n-Queens Problem.

There are 92 "atomic elements" in John Conway's look-and-say sequence, corresponding to the 92 non-transuranic elements in the chemist's periodic table.

92 is palindromic in bases 6 (2326), 7 (1617), 22 (4422), and 45 (2245).

The most faces or vertices an Archimedean or Catalan solid can have is 92: the snub dodecahedron has 92 faces while its dual polyhedron, the pentagonal hexecontahedron, has 92 vertices.

As a simple polyhedron, the final stellation of the icosahedron has 92 vertices.

There are 92 Johnson solids.

## In other fields

Ninety-two is also:

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