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56902976 = 261325261
BaseRepresentation
bin1101100100010…
…0010101000000
310222001222012122
43121010111000
5104031343401
65351343412
71260444614
oct331042500
9128058178
1056902976
112a136059
1217081b68
13ba34400
1477b3344
154ee021b
hex3644540

56902976 has 42 divisors (see below), whose sum is σ = 122294142. Its totient is φ = 26257920.

The previous prime is 56902939. The next prime is 56902981. The reversal of 56902976 is 67920965.

56902976 = T403 + T404 + ... + T740.

It can be written as a sum of positive squares in 3 ways, for example, as 952576 + 55950400 = 976^2 + 7480^2 .

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, 8186 + ... + 13446.

Almost surely, 256902976 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 56902976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61147071).

56902976 is an abundant number, since it is smaller than the sum of its proper divisors (65391166).

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

56902976 is a wasteful number, since it uses less digits than its factorization.

56902976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 56902976 is about 7543.4061272081. The cubic root of 56902976 is about 384.6316283109.

The spelling of 56902976 in words is "fifty-six million, nine hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5261 5408 10522 10816 21044 42088 68393 84176 136786 168352 273572 336704 547144 889109 1094288 1778218 2188576 3556436 4377152 7112872 14225744 28451488 56902976