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76980528 = 24322831889
BaseRepresentation
bin1001001011010…
…10000100110000
312100212000102200
410211222010300
5124201334103
611345543200
71623216012
oct445520460
9170760380
1076980528
113a4a9679
1221944b00
1312c43c11
14a31c1b2
156b590a3
hex496a130

76980528 has 60 divisors (see below), whose sum is σ = 216314280. Its totient is φ = 25555968.

The previous prime is 76980509. The next prime is 76980551. The reversal of 76980528 is 82508967.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39808 + ... + 41696.

It is an arithmetic number, because the mean of its divisors is an integer number (3605238).

Almost surely, 276980528 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 76980528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108157140).

76980528 is an abundant number, since it is smaller than the sum of its proper divisors (139333752).

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

76980528 is a wasteful number, since it uses less digits than its factorization.

76980528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 76980528 is about 8773.8547970661. The cubic root of 76980528 is about 425.3962219575.

The spelling of 76980528 in words is "seventy-six million, nine hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 566 849 1132 1698 1889 2264 2547 3396 3778 4528 5094 5667 6792 7556 10188 11334 13584 15112 17001 20376 22668 30224 34002 40752 45336 68004 90672 136008 272016 534587 1069174 1603761 2138348 3207522 4276696 4811283 6415044 8553392 9622566 12830088 19245132 25660176 38490264 76980528