Search a number
-
+
56837568 = 263389761
BaseRepresentation
bin1101100011010…
…0010111000000
310221221122111010
43120310113000
5104022300233
65350120520
71260053124
oct330642700
9127848433
1056837568
112a0a09a7
1217050140
13ba106c8
147797584
154ecab63
hex36345c0

56837568 has 56 divisors (see below), whose sum is σ = 150967440. Its totient is φ = 18872320.

The previous prime is 56837549. The next prime is 56837609. The reversal of 56837568 is 86573865.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74308 + ... + 75068.

Almost surely, 256837568 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 56837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75483720).

56837568 is an abundant number, since it is smaller than the sum of its proper divisors (94129872).

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

56837568 is a wasteful number, since it uses less digits than its factorization.

56837568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1155 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 56837568 is about 7539.0694385978. The cubic root of 56837568 is about 384.4841982297.

The spelling of 56837568 in words is "fifty-six million, eight hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 389 761 778 1167 1522 1556 2283 2334 3044 3112 4566 4668 6088 6224 9132 9336 12176 12448 18264 18672 24352 24896 36528 37344 48704 73056 74688 146112 296029 592058 888087 1184116 1776174 2368232 3552348 4736464 7104696 9472928 14209392 18945856 28418784 56837568