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76664256 = 2632271759
BaseRepresentation
bin1001001000111…
…00110111000000
312100020221120220
410210130313000
5124111224011
611335103040
71620430644
oct444346700
9170227526
1076664256
113a302a99
1221811a80
1312b62c86
14a278c24
156ae5506
hex491cdc0

76664256 has 56 divisors (see below), whose sum is σ = 203850240. Its totient is φ = 25427712.

The previous prime is 76664233. The next prime is 76664257. The reversal of 76664256 is 65246667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76664257) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42705 + ... + 44463.

Almost surely, 276664256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101925120).

76664256 is an abundant number, since it is smaller than the sum of its proper divisors (127185984).

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

76664256 is a wasteful number, since it uses less digits than its factorization.

76664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1991 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 76664256 is about 8755.8126978596. The cubic root of 76664256 is about 424.8128467783.

The spelling of 76664256 in words is "seventy-six million, six hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1362 1759 1816 2724 3518 3632 5277 5448 7036 7264 10554 10896 14072 14528 21108 21792 28144 42216 43584 56288 84432 112576 168864 337728 399293 798586 1197879 1597172 2395758 3194344 4791516 6388688 9583032 12777376 19166064 25554752 38332128 76664256