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72942656 = 262939301
BaseRepresentation
bin1000101100100…
…00010001000000
312002020212111212
410112100101000
5122133131111
611123225252
71544000543
oct426202100
9162225455
1072942656
11381a0996
1220518228
131215c047
14998a85a
15660c98b
hex4590440

72942656 has 28 divisors (see below), whose sum is σ = 149740620. Its totient is φ = 35212800.

The previous prime is 72942619. The next prime is 72942673. The reversal of 72942656 is 65624927.

It can be written as a sum of positive squares in 2 ways, for example, as 29593600 + 43349056 = 5440^2 + 6584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17795 + ... + 21506.

Almost surely, 272942656 is an apocalyptic number.

It is an amenable number.

72942656 is an abundant number, since it is smaller than the sum of its proper divisors (76797964).

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

72942656 is a wasteful number, since it uses less digits than its factorization.

72942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39342 (or 39332 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 72942656 is about 8540.6472822615. The cubic root of 72942656 is about 417.8244571687.

The spelling of 72942656 in words is "seventy-two million, nine hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 39301 78602 157204 314408 628816 1139729 1257632 2279458 2515264 4558916 9117832 18235664 36471328 72942656