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56555712 = 2633231423
BaseRepresentation
bin1101011110111…
…1100011000000
310221102022212000
43113233203000
5103434240322
65340104000
71254500313
oct327574300
9127368760
1056555712
1129a19164
1216b35000
13b942325
14772297a
154e723ac
hex35ef8c0

56555712 has 112 divisors (see below), whose sum is σ = 173614080. Its totient is φ = 18019584.

The previous prime is 56555683. The next prime is 56555729. The reversal of 56555712 is 21755565.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39033 + ... + 40455.

Almost surely, 256555712 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 56555712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86807040).

56555712 is an abundant number, since it is smaller than the sum of its proper divisors (117058368).

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

56555712 is a wasteful number, since it uses less digits than its factorization.

56555712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1451 counting only the distinct ones).

The product of its digits is 52500, while the sum is 36.

The square root of 56555712 is about 7520.3531831956. The cubic root of 56555712 is about 383.8475957709.

The spelling of 56555712 in words is "fifty-six million, five hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1423 1472 1656 1728 2208 2484 2846 3312 4269 4416 4968 5692 6624 8538 9936 11384 12807 13248 17076 19872 22768 25614 32729 34152 38421 39744 45536 51228 65458 68304 76842 91072 98187 102456 130916 136608 153684 196374 204912 261832 273216 294561 307368 392748 409824 523664 589122 614736 785496 819648 883683 1047328 1178244 1229472 1570992 1767366 2094656 2356488 2458944 3141984 3534732 4712976 6283968 7069464 9425952 14138928 18851904 28277856 56555712