192 (number)

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192 is the natural number following 191 and preceding 193.

List of numbersIntegers

<< 190 191 192 193 194 195 196 197 198 199 >>

Cardinal One hundred [and]
ninety-two
Ordinal 192nd
Factorization 2^6 \cdot 3\,
Divisors 1, 2, 3, 4, 6, 8, 12, 16,
24, 32, 48, 64, 96, 192
Roman numeral CXCII
Binary 11000000
Hexadecimal C0

Contents

[edit] In mathematics

  • 192 is an even number
  • 192 is the sum of ten consecutive primes (5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37)
  • 192 is a composite number, having as its factors 2 × 2 × 2 × 2 × 2 × 2 × 3. Based on this factorization it may also be seen to be a regular number (its only prime factors are 2 and 3).
  • 192 is the smallest number with 14 divisors, namely 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, and 192 itself. It is an abundant number, as the sum of its proper divisors is 316 which is greater than 192, and a practical number (subsets of its divisors can be chosen to add to any number up to 192).
  • Based on its decimal expansion, 192 is a Harshad number (it is divisible by 1 + 9 + 2 = 12) and a happy number (repeatedly summing the squares of its digits leads from 192 to 86 to 100 to 1).

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