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76612864 = 28192829
BaseRepresentation
bin1001001000100…
…00010100000000
312100011100002111
410210100110000
5124103102424
611334025104
71620125056
oct444202400
9170140074
1076612864
113a278419
12217a8194
1312b45773
14a2641d6
156ad5194
hex4910500

76612864 has 54 divisors (see below), whose sum is σ = 161593530. Its totient is φ = 36246528.

The previous prime is 76612859. The next prime is 76612919. The reversal of 76612864 is 46821667.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 9241600 = 8208^2 + 3040^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92002 + ... + 92830.

Almost surely, 276612864 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 76612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80796765).

76612864 is an abundant number, since it is smaller than the sum of its proper divisors (84980666).

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

76612864 is an equidigital number, since it uses as much as digits as its factorization.

76612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 850 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 76612864 is about 8752.8774697239. The cubic root of 76612864 is about 424.7179009146.

The spelling of 76612864 in words is "seventy-six million, six hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 722 829 1216 1444 1658 2432 2888 3316 4864 5776 6632 11552 13264 15751 23104 26528 31502 46208 53056 63004 92416 106112 126008 212224 252016 299269 504032 598538 1008064 1197076 2016128 2394152 4032256 4788304 9576608 19153216 38306432 76612864