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56970368 = 277136773
BaseRepresentation
bin1101100101010…
…0110010000000
310222012101122122
43121110302000
5104041022433
65353023412
71261145240
oct331246200
9128171578
1056970368
112a181754
12170b4b68
13ba58ca0
1477cdb20
155005198
hex3654c80

56970368 has 128 divisors (see below), whose sum is σ = 143713920. Its totient is φ = 21897216.

The previous prime is 56970367. The next prime is 56970371. The reversal of 56970368 is 86307965.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (56970367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780380 + ... + 780452.

It is an arithmetic number, because the mean of its divisors is an integer number (1122765).

Almost surely, 256970368 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 56970368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71856960).

56970368 is an abundant number, since it is smaller than the sum of its proper divisors (86743552).

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

56970368 is a wasteful number, since it uses less digits than its factorization.

56970368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 56970368 is about 7547.8717530175. The cubic root of 56970368 is about 384.7834122197.

The spelling of 56970368 in words is "fifty-six million, nine hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 67 73 91 104 112 128 134 146 182 208 224 268 292 364 416 448 469 511 536 584 728 832 871 896 938 949 1022 1072 1168 1456 1664 1742 1876 1898 2044 2144 2336 2912 3484 3752 3796 4088 4288 4672 4891 5824 6097 6643 6968 7504 7592 8176 8576 9344 9782 11648 12194 13286 13936 15008 15184 16352 19564 24388 26572 27872 30016 30368 32704 34237 39128 48776 53144 55744 60032 60736 63583 65408 68474 78256 97552 106288 111488 121472 127166 136948 156512 195104 212576 254332 273896 313024 390208 425152 445081 508664 547792 626048 780416 850304 890162 1017328 1095584 1780324 2034656 2191168 3560648 4069312 4382336 7121296 8138624 14242592 28485184 56970368