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56593504 = 2511433739
BaseRepresentation
bin1101011111100…
…0110001100000
310221111020200201
43113320301200
5103441443004
65340554544
71255015432
oct327706140
9127436621
1056593504
1129a445a0
1216b52a54
13b9565a6
147732652
154e7d6a4
hex35f8c60

56593504 has 48 divisors (see below), whose sum is σ = 124407360. Its totient is φ = 25119360.

The previous prime is 56593487. The next prime is 56593517. The reversal of 56593504 is 40539565.

56593504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 13267 + ... + 17005.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 256593504 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 56593504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

56593504 is an abundant number, since it is smaller than the sum of its proper divisors (67813856).

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

56593504 is a wasteful number, since it uses less digits than its factorization.

56593504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The square root of 56593504 is about 7522.8654115304. The cubic root of 56593504 is about 383.9330757212.

The spelling of 56593504 in words is "fifty-six million, five hundred ninety-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3739 3784 7478 7568 14956 15136 29912 41129 59824 82258 119648 160777 164516 321554 329032 643108 658064 1286216 1316128 1768547 2572432 3537094 5144864 7074188 14148376 28296752 56593504