92 (number)

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← 91 92 93 →
Cardinalninety-two
Ordinal92nd
(ninety-second)
Factorization22× 23
Divisors1, 2, 4, 23, 46, 92
Greek numeralϞΒ´
Roman numeralXCII
Binary10111002
Ternary101023
Quaternary11304
Quinary3325
Senary2326
Octal1348
Duodecimal7812
Hexadecimal5C16
Vigesimal4C20
Base 362K36

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

In mathematics[edit]

92 is:

  • a pentagonal number.[1]
  • palindromic in bases 6 (2326), 7 (1617), 22 (4422), and 45 (2245).
  • 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]

There are 92 Johnson solids. The snub dodecahedron has 92 faces, the most an Archimedean solid can have.

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

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

In science[edit]

In other fields[edit]

Ninety-two is also:

Vehicles

In sports[edit]

See also[edit]

List of highways numbered 92

References[edit]

  1. ^ "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  2. ^ "Sloane's A059756 : Erdős-Woods numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.