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76272404 = 22132176637
BaseRepresentation
bin1001000101111…
…01001100010100
312022112001001212
410202331030110
5124011204104
611322440552
71614206345
oct442751424
9168461055
1076272404
113a06564a
1221663158
1312a56800
14a1b60cc
156a6936e
hex48bd314

76272404 has 36 divisors (see below), whose sum is σ = 153059004. Its totient is φ = 33126912.

The previous prime is 76272337. The next prime is 76272409. The reversal of 76272404 is 40427267.

It can be written as a sum of positive squares in 6 ways, for example, as 22543504 + 53728900 = 4748^2 + 7330^2 .

It is a super-2 number, since 2×762724042 = 11634959223878432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76272409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8174 + ... + 14810.

It is an arithmetic number, because the mean of its divisors is an integer number (4251639).

Almost surely, 276272404 is an apocalyptic number.

It is an amenable number.

76272404 is an abundant number, since it is smaller than the sum of its proper divisors (76786600).

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

76272404 is a wasteful number, since it uses less digits than its factorization.

76272404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 76272404 is about 8733.4073533759. The cubic root of 76272404 is about 424.0878318696.

The spelling of 76272404 in words is "seventy-six million, two hundred seventy-two thousand, four hundred four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 338 442 676 884 2873 5746 6637 11492 13274 26548 86281 112829 172562 225658 345124 451316 1121653 1466777 2243306 2933554 4486612 5867108 19068101 38136202 76272404