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56908728 = 23324767251
BaseRepresentation
bin1101100100010…
…1101110111000
310222002021002200
43121011232320
5104032034403
65351430200
71260500442
oct331055670
9128067080
1056908728
112a13a408
1217085360
13ba36c06
1477b5492
154ee1ca3
hex3645bb8

56908728 has 96 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 18216000.

The previous prime is 56908727. The next prime is 56908771. The reversal of 56908728 is 82780965.

56908728 is a `hidden beast` number, since 569 + 0 + 87 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56908723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226603 + ... + 226853.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 256908728 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 56908728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

56908728 is an abundant number, since it is smaller than the sum of its proper divisors (103484232).

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

56908728 is a wasteful number, since it uses less digits than its factorization.

56908728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 370 counting only the distinct ones).

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

The square root of 56908728 is about 7543.7873777036. The cubic root of 56908728 is about 384.6445879528.

The spelling of 56908728 in words is "fifty-six million, nine hundred eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 67 72 94 134 141 188 201 251 268 282 376 402 423 502 536 564 603 753 804 846 1004 1128 1206 1506 1608 1692 2008 2259 2412 3012 3149 3384 4518 4824 6024 6298 9036 9447 11797 12596 16817 18072 18894 23594 25192 28341 33634 35391 37788 47188 50451 56682 67268 70782 75576 94376 100902 106173 113364 134536 141564 151353 201804 212346 226728 283128 302706 403608 424692 605412 790399 849384 1210824 1580798 2371197 3161596 4742394 6323192 7113591 9484788 14227182 18969576 28454364 56908728