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56412288 = 27345441
BaseRepresentation
bin1101011100110…
…0100010000000
310221011001010000
43113030202000
5103420143123
65333040000
71253332212
oct327144200
9127131100
1056412288
1129930429
1216a86000
13b8c1c6a
1476c65b2
154e44b43
hex35cc880

56412288 has 80 divisors (see below), whose sum is σ = 167912910. Its totient is φ = 18800640.

The previous prime is 56412277. The next prime is 56412289. The reversal of 56412288 is 88221465.

56412288 is a `hidden beast` number, since 5 + 641 + 2 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 13483584 = 6552^2 + 3672^2 .

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

It is not an unprimeable number, because it can be changed into a prime (56412289) 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, 7648 + ... + 13088.

Almost surely, 256412288 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 56412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83956455).

56412288 is an abundant number, since it is smaller than the sum of its proper divisors (111500622).

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

56412288 is an equidigital number, since it uses as much as digits as its factorization.

56412288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5446 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 56412288 is about 7510.8114075644. The cubic root of 56412288 is about 383.5228448366.

The spelling of 56412288 in words is "fifty-six million, four hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 5441 10368 10882 16323 21764 32646 43528 48969 65292 87056 97938 130584 146907 174112 195876 261168 293814 348224 391752 440721 522336 587628 696448 783504 881442 1044672 1175256 1567008 1762884 2089344 2350512 3134016 3525768 4701024 6268032 7051536 9402048 14103072 18804096 28206144 56412288