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56475136 = 29731511
BaseRepresentation
bin1101011101101…
…1111000000000
310221021020022201
43113123320000
5103424201021
65334242544
71254013354
oct327337000
9127236281
1056475136
1129973673
1216ab6454
13b914753
147701464
154e58591
hex35dbe00

56475136 has 40 divisors (see below), whose sum is σ = 114461424. Its totient is φ = 27832320.

The previous prime is 56475121. The next prime is 56475187. The reversal of 56475136 is 63157465.

56475136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56475095 and 56475104.

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 36621 + ... + 38131.

Almost surely, 256475136 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 56475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57230712).

56475136 is an abundant number, since it is smaller than the sum of its proper divisors (57986288).

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

56475136 is an equidigital number, since it uses as much as digits as its factorization.

56475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1586 counting only the distinct ones).

The product of its digits is 75600, while the sum is 37.

The square root of 56475136 is about 7514.9940785073. The cubic root of 56475136 is about 383.6652174708.

The spelling of 56475136 in words is "fifty-six million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1168 1511 2336 3022 4672 6044 9344 12088 18688 24176 37376 48352 96704 110303 193408 220606 386816 441212 773632 882424 1764848 3529696 7059392 14118784 28237568 56475136