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56747664 = 243229107127
BaseRepresentation
bin1101100001111…
…0011010010000
310221210002011100
43120132122100
5104011411124
65344144400
71256230041
oct330363220
9127702140
1056747664
112a03a3a6
1217008100
13b9ab7cc
1477728c8
154eae1c9
hex361e690

56747664 has 120 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 17950464.

The previous prime is 56747657. The next prime is 56747687. The reversal of 56747664 is 46674765.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446769 + ... + 446895.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 256747664 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 56747664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

56747664 is an abundant number, since it is smaller than the sum of its proper divisors (110384496).

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

56747664 is a wasteful number, since it uses less digits than its factorization.

56747664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 56747664 is about 7533.1045392985. The cubic root of 56747664 is about 384.2813693020.

The spelling of 56747664 in words is "fifty-six million, seven hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 107 116 127 144 174 214 232 254 261 321 348 381 428 464 508 522 642 696 762 856 963 1016 1044 1143 1284 1392 1524 1712 1926 2032 2088 2286 2568 3048 3103 3683 3852 4176 4572 5136 6096 6206 7366 7704 9144 9309 11049 12412 13589 14732 15408 18288 18618 22098 24824 27178 27927 29464 33147 37236 40767 44196 49648 54356 55854 58928 66294 74472 81534 88392 108712 111708 122301 132588 148944 163068 176784 217424 223416 244602 265176 326136 394081 446832 489204 530352 652272 788162 978408 1182243 1576324 1956816 2364486 3152648 3546729 4728972 6305296 7093458 9457944 14186916 18915888 28373832 56747664