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56132244 = 22337210607
BaseRepresentation
bin1101011000100…
…0001010010100
310220121210222000
43112020022110
5103332212434
65323035300
71251054600
oct326101224
9126553860
1056132244
1129759a93
121696bb30
13b82465c
147652500
154ddbb99
hex3588294

56132244 has 72 divisors (see below), whose sum is σ = 169303680. Its totient is φ = 16036272.

The previous prime is 56132233. The next prime is 56132269. The reversal of 56132244 is 44223165.

56132244 is a `hidden beast` number, since 5 + 613 + 2 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12 + ... + 10595.

It is an arithmetic number, because the mean of its divisors is an integer number (2351440).

Almost surely, 256132244 is an apocalyptic number.

56132244 is a gapful number since it is divisible by the number (54) 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 56132244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840).

56132244 is an abundant number, since it is smaller than the sum of its proper divisors (113171436).

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

56132244 is a wasteful number, since it uses less digits than its factorization.

56132244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10634 (or 10619 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 56132244 is about 7492.1454871085. The cubic root of 56132244 is about 382.8871589351.

The spelling of 56132244 in words is "fifty-six million, one hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 10607 21214 31821 42428 63642 74249 95463 127284 148498 190926 222747 286389 296996 381852 445494 519743 572778 668241 890988 1039486 1145556 1336482 1559229 2004723 2078972 2672964 3118458 4009446 4677687 6236916 8018892 9355374 14033061 18710748 28066122 56132244