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56860752 = 24313293311
BaseRepresentation
bin1101100011101…
…0000001010000
310221222211021210
43120322001100
5104024021002
65350420120
71260210534
oct330720120
9127884253
1056860752
112a107363
1217061640
13ba1b120
1477a1bc4
154ed296c
hex363a050

56860752 has 80 divisors (see below), whose sum is σ = 159239808. Its totient is φ = 17379840.

The previous prime is 56860747. The next prime is 56860759. The reversal of 56860752 is 25706865.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 56860752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56860759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182677 + ... + 182987.

Almost surely, 256860752 is an apocalyptic number.

56860752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56860752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

56860752 is an abundant number, since it is smaller than the sum of its proper divisors (102379056).

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

56860752 is a wasteful number, since it uses less digits than its factorization.

56860752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 56860752 is about 7540.6068721291. The cubic root of 56860752 is about 384.5364680590.

The spelling of 56860752 in words is "fifty-six million, eight hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 293 311 312 586 622 624 879 933 1172 1244 1758 1866 2344 2488 3516 3732 3809 4043 4688 4976 7032 7464 7618 8086 11427 12129 14064 14928 15236 16172 22854 24258 30472 32344 45708 48516 60944 64688 91123 91416 97032 182246 182832 194064 273369 364492 546738 728984 1093476 1184599 1457968 2186952 2369198 3553797 4373904 4738396 7107594 9476792 14215188 18953584 28430376 56860752