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56878304 = 257318191
BaseRepresentation
bin1101100011111…
…0010011100000
310222000201100212
43120332103200
5104030101204
65351033252
71260312650
oct330762340
9128021325
1056878304
112a11956a
121706b828
13ba26102
1477a8360
154ed7c6e
hex363e4e0

56878304 has 48 divisors (see below), whose sum is σ = 132120576. Its totient is φ = 23587200.

The previous prime is 56878303. The next prime is 56878307. The reversal of 56878304 is 40387865.

It is a happy number.

56878304 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 (56878303) 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, 2849 + ... + 11039.

It is an arithmetic number, because the mean of its divisors is an integer number (2752512).

Almost surely, 256878304 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 56878304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66060288).

56878304 is an abundant number, since it is smaller than the sum of its proper divisors (75242272).

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

56878304 is a wasteful number, since it uses less digits than its factorization.

56878304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 56878304 is about 7541.7706143849. The cubic root of 56878304 is about 384.5760307304.

The spelling of 56878304 in words is "fifty-six million, eight hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 8191 16382 32764 57337 65528 114674 131056 229348 253921 262112 458696 507842 917392 1015684 1777447 1834784 2031368 3554894 4062736 7109788 8125472 14219576 28439152 56878304