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56734912 = 2613193797
BaseRepresentation
bin1101100001101…
…1010011000000
310221202102200001
43120123103000
5104011004122
65344005344
71256144623
oct330332300
9127672601
1056734912
112a030863
1217000854
13b9a5a70
14776bdba
154eaa527
hex361b4c0

56734912 has 112 divisors (see below), whose sum is σ = 132425440. Its totient is φ = 23887872.

The previous prime is 56734907. The next prime is 56734913. The reversal of 56734912 is 21943765.

It is a Harshad number since it is a multiple of its sum of digits (37).

Its product of digits (45360) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (56734913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584848 + ... + 584944.

It is an arithmetic number, because the mean of its divisors is an integer number (1182370).

Almost surely, 256734912 is an apocalyptic number.

56734912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66212720).

56734912 is an abundant number, since it is smaller than the sum of its proper divisors (75690528).

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

56734912 is a wasteful number, since it uses less digits than its factorization.

56734912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 56734912 is about 7532.2580943566. The cubic root of 56734912 is about 384.2525826655.

It can be divided in two parts, 5673 and 4912, that added together give a triangular number (10585 = T145).

The spelling of 56734912 in words is "fifty-six million, seven hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 37 38 52 64 74 76 97 104 148 152 194 208 247 296 304 388 416 481 494 592 608 703 776 832 962 988 1184 1216 1261 1406 1552 1843 1924 1976 2368 2522 2812 3104 3589 3686 3848 3952 5044 5624 6208 7178 7372 7696 7904 9139 10088 11248 14356 14744 15392 15808 18278 20176 22496 23959 28712 29488 30784 36556 40352 44992 46657 47918 57424 58976 68191 73112 80704 93314 95836 114848 117952 136382 146224 186628 191672 229696 272764 292448 373256 383344 545528 584896 746512 766688 886483 1091056 1493024 1533376 1772966 2182112 2986048 3545932 4364224 7091864 14183728 28367456 56734912