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56276532 = 22341331431
BaseRepresentation
bin1101011010101…
…1011000110100
310220220010220000
43112223120310
5103401322112
65330111300
71252225344
oct326533064
9126803800
1056276532
1129848434
1216a1b530
13b875230
14768cd24
154e197dc
hex35ab634

56276532 has 120 divisors (see below), whose sum is σ = 163924992. Its totient is φ = 16718400.

The previous prime is 56276509. The next prime is 56276533. The reversal of 56276532 is 23567265.

It is a happy number.

56276532 is a `hidden beast` number, since 56 + 2 + 76 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56276533) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130357 + ... + 130787.

Almost surely, 256276532 is an apocalyptic number.

56276532 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 56276532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81962496).

56276532 is an abundant number, since it is smaller than the sum of its proper divisors (107648460).

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

56276532 is a wasteful number, since it uses less digits than its factorization.

56276532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 56276532 is about 7501.7685914723. The cubic root of 56276532 is about 383.2149488664.

The spelling of 56276532 in words is "fifty-six million, two hundred seventy-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 279 324 351 372 403 431 468 558 702 806 837 862 1053 1116 1209 1293 1404 1612 1674 1724 2106 2418 2511 2586 3348 3627 3879 4212 4836 5022 5172 5603 7254 7758 10044 10881 11206 11637 13361 14508 15516 16809 21762 22412 23274 26722 32643 33618 34911 40083 43524 46548 50427 53444 65286 67236 69822 80166 100854 120249 130572 139644 151281 160332 173693 201708 240498 302562 347386 360747 453843 480996 521079 605124 694772 721494 907686 1042158 1082241 1442988 1563237 1815372 2084316 2164482 3126474 4328964 4689711 6252948 9379422 14069133 18758844 28138266 56276532