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56542512 = 24313313779
BaseRepresentation
bin1101011110110…
…0010100110000
310221101122202010
43113230110300
5103433330022
65335522520
71254413655
oct327542460
9127348663
1056542512
1129a0a254
1216b29440
13b939310
14771bc2c
154e6d50c
hex35ec530

56542512 has 160 divisors (see below), whose sum is σ = 168878080. Its totient is φ = 16174080.

The previous prime is 56542477. The next prime is 56542513. The reversal of 56542512 is 21524565.

56542512 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 56542512.

It is not an unprimeable number, because it can be changed into a prime (56542513) 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, 715689 + ... + 715767.

It is an arithmetic number, because the mean of its divisors is an integer number (1055488).

Almost surely, 256542512 is an apocalyptic number.

56542512 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 56542512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84439040).

56542512 is an abundant number, since it is smaller than the sum of its proper divisors (112335568).

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

56542512 is a wasteful number, since it uses less digits than its factorization.

56542512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 56542512 is about 7519.4755136246. The cubic root of 56542512 is about 383.8177303377.

The spelling of 56542512 in words is "fifty-six million, five hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 37 39 48 52 62 74 78 79 93 104 111 124 148 156 158 186 208 222 237 248 296 312 316 372 403 444 474 481 496 592 624 632 744 806 888 948 962 1027 1147 1209 1264 1443 1488 1612 1776 1896 1924 2054 2294 2418 2449 2886 2923 3081 3224 3441 3792 3848 4108 4588 4836 4898 5772 5846 6162 6448 6882 7347 7696 8216 8769 9176 9672 9796 11544 11692 12324 13764 14694 14911 16432 17538 18352 19344 19592 23088 23384 24648 27528 29388 29822 31837 35076 37999 39184 44733 46768 49296 55056 58776 59644 63674 70152 75998 89466 90613 95511 113997 117552 119288 127348 140304 151996 178932 181226 191022 227994 238576 254696 271839 303992 357864 362452 382044 455988 509392 543678 607984 715728 724904 764088 911976 1087356 1177969 1449808 1528176 1823952 2174712 2355938 3533907 4349424 4711876 7067814 9423752 14135628 18847504 28271256 56542512