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76327992 = 23321381547
BaseRepresentation
bin1001000110010…
…10110000111000
312022121212022200
410203022300320
5124014443432
611323550200
71614530406
oct443126070
9168555280
1076327992
113a0a3394
122168b360
1312a75bc0
14a1cc476
156a7aa7c
hex48cac38

76327992 has 48 divisors (see below), whose sum is σ = 222626040. Its totient is φ = 23485248.

The previous prime is 76327981. The next prime is 76328009. The reversal of 76327992 is 29972367.

It is a happy number.

76327992 is a `hidden beast` number, since 7 + 632 + 7 + 9 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39838 + ... + 41709.

Almost surely, 276327992 is an apocalyptic number.

76327992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76327992 is an abundant number, since it is smaller than the sum of its proper divisors (146298048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76327992 is a wasteful number, since it uses less digits than its factorization.

76327992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81572 (or 81565 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 76327992 is about 8736.5892658405. The cubic root of 76327992 is about 424.1908331669.

The spelling of 76327992 in words is "seventy-six million, three hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 81547 163094 244641 326188 489282 652376 733923 978564 1060111 1467846 1957128 2120222 2935692 3180333 4240444 5871384 6360666 8480888 9540999 12721332 19081998 25442664 38163996 76327992