# 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,[1] 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.[2]

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 ${\displaystyle n=8}$, 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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