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56093824 = 27438233
BaseRepresentation
bin1101010111111…
…0110010000000
310220112212021001
43111332302000
5103330000244
65322141344
71250534563
oct325766200
9126485231
1056093824
1129733136
1216951854
13b810017
1476424da
154dd05d4
hex357ec80

56093824 has 16 divisors (see below), whose sum is σ = 111749670. Its totient is φ = 28046848.

The previous prime is 56093819. The next prime is 56093827. The reversal of 56093824 is 42839065.

56093824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43983424 + 12110400 = 6632^2 + 3480^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56093827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 218989 + ... + 219244.

Almost surely, 256093824 is an apocalyptic number.

It is an amenable number.

56093824 is a deficient number, since it is larger than the sum of its proper divisors (55655846).

56093824 is an equidigital number, since it uses as much as digits as its factorization.

56093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438247 (or 438235 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 56093824 is about 7489.5810296705. The cubic root of 56093824 is about 382.7997826424.

The spelling of 56093824 in words is "fifty-six million, ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 438233 876466 1752932 3505864 7011728 14023456 28046912 56093824