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56132352 = 28342707
BaseRepresentation
bin1101011000100…
…0001100000000
310220121211010000
43112020030000
5103332213402
65323040000
71251055113
oct326101400
9126554100
1056132352
112975a081
1216970000
13b824713
14765257a
154ddbc1c
hex3588300

56132352 has 90 divisors (see below), whose sum is σ = 167438348. Its totient is φ = 18703872.

The previous prime is 56132341. The next prime is 56132357. The reversal of 56132352 is 25323165.

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

It is not an unprimeable number, because it can be changed into a prime (56132357) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19383 + ... + 22089.

Almost surely, 256132352 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 56132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83719174).

56132352 is an abundant number, since it is smaller than the sum of its proper divisors (111305996).

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

56132352 is an equidigital number, since it uses as much as digits as its factorization.

56132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2712 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 56132352 is about 7492.1526946533. The cubic root of 56132352 is about 382.8874044968.

The spelling of 56132352 in words is "fifty-six million, one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 2707 3456 5184 5414 6912 8121 10368 10828 16242 20736 21656 24363 32484 43312 48726 64968 73089 86624 97452 129936 146178 173248 194904 219267 259872 292356 346496 389808 438534 519744 584712 692992 779616 877068 1039488 1169424 1559232 1754136 2078976 2338848 3118464 3508272 4677696 6236928 7016544 9355392 14033088 18710784 28066176 56132352