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56751328 = 2519313011
BaseRepresentation
bin1101100001111…
…1010011100000
310221210021012001
43120133103200
5104012020303
65344213344
71256243524
oct330372340
9127707161
1056751328
112a042127
121700a254
13b9b038a
147773d84
154eb031d
hex361f4e0

56751328 has 48 divisors (see below), whose sum is σ = 121443840. Its totient is φ = 26006400.

The previous prime is 56751319. The next prime is 56751329. The reversal of 56751328 is 82315765.

56751328 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 not an unprimeable number, because it can be changed into a prime (56751329) 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 in 7 ways as a sum of consecutive naturals, for example, 17343 + ... + 20353.

It is an arithmetic number, because the mean of its divisors is an integer number (2530080).

Almost surely, 256751328 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 56751328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60721920).

56751328 is an abundant number, since it is smaller than the sum of its proper divisors (64692512).

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

56751328 is a wasteful number, since it uses less digits than its factorization.

56751328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3063 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 56751328 is about 7533.3477285998. The cubic root of 56751328 is about 384.2896396961.

The spelling of 56751328 in words is "fifty-six million, seven hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2356 3011 4712 6022 9424 12044 18848 24088 48176 57209 93341 96352 114418 186682 228836 373364 457672 746728 915344 1493456 1773479 1830688 2986912 3546958 7093916 14187832 28375664 56751328