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56514864 = 24372371103
BaseRepresentation
bin1101011110010…
…1100100110000
310221100020211010
43113211210300
5103431433424
65335150520
71254240240
oct327454460
9127306733
1056514864
11299a04aa
1216b15440
13b929863
147711b20
154e65229
hex35e5930

56514864 has 160 divisors (see below), whose sum is σ = 178274304. Its totient is φ = 15079680.

The previous prime is 56514859. The next prime is 56514869. The reversal of 56514864 is 46841565.

It is a happy number.

56514864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56514859) and next prime (56514869).

It is not an unprimeable number, because it can be changed into a prime (56514869) 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 31 ways as a sum of consecutive naturals, for example, 548637 + ... + 548739.

Almost surely, 256514864 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 56514864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89137152).

56514864 is an abundant number, since it is smaller than the sum of its proper divisors (121759440).

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

56514864 is a wasteful number, since it uses less digits than its factorization.

56514864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 56514864 is about 7517.6368627382. The cubic root of 56514864 is about 383.7551607634.

The spelling of 56514864 in words is "fifty-six million, five hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 71 84 92 103 112 138 142 161 168 184 206 213 276 284 309 322 336 368 412 426 483 497 552 568 618 644 721 824 852 966 994 1104 1136 1236 1288 1442 1491 1633 1648 1704 1932 1988 2163 2369 2472 2576 2884 2982 3266 3408 3864 3976 4326 4738 4899 4944 5768 5964 6532 7107 7313 7728 7952 8652 9476 9798 11431 11536 11928 13064 14214 14626 16583 17304 18952 19596 21939 22862 23856 26128 28428 29252 33166 34293 34608 37904 39192 43878 45724 49749 51191 56856 58504 66332 68586 78384 87756 91448 99498 102382 113712 117008 132664 137172 153573 168199 175512 182896 198996 204764 265328 274344 307146 336398 351024 397992 409528 504597 548688 614292 672796 795984 819056 1009194 1177393 1228584 1345592 2018388 2354786 2457168 2691184 3532179 4036776 4709572 7064358 8073552 9419144 14128716 18838288 28257432 56514864