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96 (number)

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Title: 96 (number)  
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Subject: 95 (number), 91 (number), 93 (number), 94 (number), 8 (number)
Collection: Integers
Publisher: World Heritage Encyclopedia

96 (number)

95 96 97
Cardinal ninety-six
Ordinal 96th
Factorization 25× 3
Divisors 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Roman numeral XCVI
Binary 11000002
Ternary 101203
Quaternary 12004
Quinary 3415
Senary 2406
Octal 1408
Duodecimal 8012
Hexadecimal 6016
Vigesimal 4G20
Base 36 2O36

96 (ninety-six) is the natural number following 95 and preceding 97.

In mathematics

Ninety-six is an octagonal number, a refactorable number and an untouchable number. Since it is a multiple of 6, it is a semiperfect number. The many divisors cause 96 to be an abundant number.

Ninety-six is the fourth Granville number and the second non-perfect Granville number. The next Granville number is 126, the previous being 24.

The sum of Euler's totient function φ(x) over the first seventeen integers is 96.

Since it is possible to find sequences of 96 consecutive integers such that each inner member shares a factor with either the first or the last member, 96 is an Erdős–Woods number.

Every integer greater than 96 may be represented as a sum of distinct super-prime numbers.

See also

External links

  • On the number 96
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