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76675392 = 2632133117
BaseRepresentation
bin1001001000111…
…11100101000000
312100021111212100
410210133211000
5124112103032
611335230400
71620505263
oct444374500
9170244770
1076675392
113a3103a2
1221818400
1312b68071
14a27ccda
156ae897c
hex491f940

76675392 has 42 divisors (see below), whose sum is σ = 219777818. Its totient is φ = 25558272.

The previous prime is 76675373. The next prime is 76675409. The reversal of 76675392 is 29357667.

It can be written as a sum of positive squares in only one way, i.e., 54997056 + 21678336 = 7416^2 + 4656^2 .

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 5 ways as a sum of consecutive naturals, for example, 65983 + ... + 67134.

Almost surely, 276675392 is an apocalyptic number.

76675392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76675392 is an abundant number, since it is smaller than the sum of its proper divisors (143102426).

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

76675392 is a wasteful number, since it uses less digits than its factorization.

76675392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133135 (or 133122 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 76675392 is about 8756.4485951783. The cubic root of 76675392 is about 424.8334147590.

The spelling of 76675392 in words is "seventy-six million, six hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 133117 266234 399351 532468 798702 1064936 1198053 1597404 2129872 2396106 3194808 4259744 4792212 6389616 8519488 9584424 12779232 19168848 25558464 38337696 76675392