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56064768 = 283371973
BaseRepresentation
bin1101010111011…
…1101100000000
310220111101101220
43111313230000
5103323033033
65321355040
71250354064
oct325675400
9126441356
1056064768
1129713321
1216938a80
13b7cca26
147635aa4
154dc6bb3
hex3577b00

56064768 has 72 divisors (see below), whose sum is σ = 153324528. Its totient is φ = 18173952.

The previous prime is 56064727. The next prime is 56064773. The reversal of 56064768 is 86746065.

It is a happy number.

56064768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 27430 + ... + 29402.

Almost surely, 256064768 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 56064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76662264).

56064768 is an abundant number, since it is smaller than the sum of its proper divisors (97259760).

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

56064768 is a wasteful number, since it uses less digits than its factorization.

56064768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 56064768 is about 7487.6410170360. The cubic root of 56064768 is about 382.7336758311.

The spelling of 56064768 in words is "fifty-six million, sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 1973 2368 3552 3946 4736 5919 7104 7892 9472 11838 14208 15784 23676 28416 31568 47352 63136 73001 94704 126272 146002 189408 219003 252544 292004 378816 438006 505088 584008 757632 876012 1168016 1515264 1752024 2336032 3504048 4672064 7008096 9344128 14016192 18688256 28032384 56064768