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56782272 = 263377993
BaseRepresentation
bin1101100010011…
…0110111000000
310221211211122010
43120212313000
5104014013042
65345012520
71256432661
oct330466700
9127754563
1056782272
112a0633a8
1217024140
13b9c14a1
147781368
154eb959c
hex3626dc0

56782272 has 56 divisors (see below), whose sum is σ = 154316176. Its totient is φ = 18413568.

The previous prime is 56782259. The next prime is 56782273. The reversal of 56782272 is 27228765.

It is a self number, because there is not a number n which added to its sum of digits gives 56782272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56782273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3108 + ... + 11100.

It is an arithmetic number, because the mean of its divisors is an integer number (2755646).

Almost surely, 256782272 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 56782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77158088).

56782272 is an abundant number, since it is smaller than the sum of its proper divisors (97533904).

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

56782272 is a wasteful number, since it uses less digits than its factorization.

56782272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8045 (or 8035 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 56782272 is about 7535.4012500994. The cubic root of 56782272 is about 384.3594724113.

The spelling of 56782272 in words is "fifty-six million, seven hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 7993 15986 23979 31972 47958 63944 95916 127888 191832 255776 295741 383664 511552 591482 767328 887223 1182964 1534656 1774446 2365928 3548892 4731856 7097784 9463712 14195568 18927424 28391136 56782272