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56700644 = 22731113172
BaseRepresentation
bin1101100001001…
…0111011100100
310221200200122212
43120102323210
5104003410034
65343142552
71255643000
oct330227344
9127620585
1056700644
112a008040
1216ba4a58
13b9932a0
14775d700
154ea02ce
hex3612ee4

56700644 has 144 divisors (see below), whose sum is σ = 144412800. Its totient is φ = 19192320.

The previous prime is 56700607. The next prime is 56700647. The reversal of 56700644 is 44600765.

56700644 = T2947 + T2948 + ... + T2959.

56700644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56700644.

It is not an unprimeable number, because it can be changed into a prime (56700647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3335324 + ... + 3335340.

Almost surely, 256700644 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 56700644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72206400).

56700644 is an abundant number, since it is smaller than the sum of its proper divisors (87712156).

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

56700644 is a wasteful number, since it uses less digits than its factorization.

56700644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 56700644 is about 7529.9830013088. The cubic root of 56700644 is about 384.1752039757.

The spelling of 56700644 in words is "fifty-six million, seven hundred thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 49 52 68 77 91 98 119 143 154 182 187 196 221 238 286 289 308 343 364 374 442 476 539 572 578 637 686 748 833 884 1001 1078 1156 1274 1309 1372 1547 1666 2002 2023 2156 2431 2548 2618 3094 3179 3332 3757 3773 4004 4046 4459 4862 5236 5831 6188 6358 7007 7514 7546 8092 8918 9163 9724 10829 11662 12716 14014 14161 15028 15092 17017 17836 18326 21658 22253 23324 26299 28028 28322 34034 36652 41327 43316 44506 49049 52598 56644 64141 68068 75803 82654 89012 98098 99127 105196 119119 128282 151606 155771 165308 184093 196196 198254 238238 256564 289289 303212 311542 368186 396508 476476 578578 623084 736372 833833 1090397 1157156 1288651 1667666 2025023 2180794 2577302 3335332 4050046 4361588 5154604 8100092 14175161 28350322 56700644