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56569152 = 263377963
BaseRepresentation
bin1101011111001…
…0110101000000
310221110000021210
43113302311000
5103440203102
65340250120
71254554433
oct327626500
9127400253
1056569152
1129a28272
1216b40940
13b948493
14772781a
154e7636c
hex35f2d40

56569152 has 56 divisors (see below), whose sum is σ = 153737056. Its totient is φ = 18344448.

The previous prime is 56569129. The next prime is 56569159. The reversal of 56569152 is 25196565.

56569152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56569152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56569159) 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, 3123 + ... + 11085.

Almost surely, 256569152 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 56569152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76868528).

56569152 is an abundant number, since it is smaller than the sum of its proper divisors (97167904).

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

56569152 is a wasteful number, since it uses less digits than its factorization.

56569152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015 (or 8005 counting only the distinct ones).

The product of its digits is 81000, while the sum is 39.

The square root of 56569152 is about 7521.2467051680. The cubic root of 56569152 is about 383.8779994378.

The spelling of 56569152 in words is "fifty-six million, five hundred sixty-nine thousand, one hundred fifty-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 7963 15926 23889 31852 47778 63704 95556 127408 191112 254816 294631 382224 509632 589262 764448 883893 1178524 1528896 1767786 2357048 3535572 4714096 7071144 9428192 14142288 18856384 28284576 56569152