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56291328 = 21233509
BaseRepresentation
bin1101011010111…
…1000000000000
310220220220012000
43112233000000
5103402310303
65330304000
71252316442
oct326570000
9126826160
1056291328
1129858565
1216a28000
13b87bba2
147694492
154e1dda3
hex35af000

56291328 has 104 divisors (see below), whose sum is σ = 167096400. Its totient is φ = 18726912.

The previous prime is 56291321. The next prime is 56291363. The reversal of 56291328 is 82319265.

56291328 is a `hidden beast` number, since 5 + 629 + 1 + 3 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56291292 and 56291301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56291321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110338 + ... + 110846.

Almost surely, 256291328 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 56291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83548200).

56291328 is an abundant number, since it is smaller than the sum of its proper divisors (110805072).

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

56291328 is an equidigital number, since it uses as much as digits as its factorization.

56291328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 514 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 56291328 is about 7502.7546941107. The cubic root of 56291328 is about 383.2485303692.

The spelling of 56291328 in words is "fifty-six million, two hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 509 512 576 768 864 1018 1024 1152 1527 1536 1728 2036 2048 2304 3054 3072 3456 4072 4096 4581 4608 6108 6144 6912 8144 9162 9216 12216 12288 13743 13824 16288 18324 18432 24432 27486 27648 32576 36648 36864 48864 54972 55296 65152 73296 97728 109944 110592 130304 146592 195456 219888 260608 293184 390912 439776 521216 586368 781824 879552 1042432 1172736 1563648 1759104 2084864 2345472 3127296 3518208 4690944 6254592 7036416 9381888 14072832 18763776 28145664 56291328