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56520648 = 23321761757
BaseRepresentation
bin1101011110011…
…0111111001000
310221100112202100
43113212333020
5103432130043
65335233400
71254263142
oct327467710
9127315670
1056520648
11299a4888
1216b18860
13b92c392
147713c92
154e66cd3
hex35e6fc8

56520648 has 96 divisors (see below), whose sum is σ = 164955960. Its totient is φ = 17418240.

The previous prime is 56520647. The next prime is 56520661. The reversal of 56520648 is 84602565.

56520648 is a `hidden beast` number, since 5 + 6 + 5 + 2 + 0 + 648 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44116164 + 12404484 = 6642^2 + 3522^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56520641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74286 + ... + 75042.

Almost surely, 256520648 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 56520648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82477980).

56520648 is an abundant number, since it is smaller than the sum of its proper divisors (108435312).

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

56520648 is a wasteful number, since it uses less digits than its factorization.

56520648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 56520648 is about 7518.0215482532. The cubic root of 56520648 is about 383.7682520930.

The spelling of 56520648 in words is "fifty-six million, five hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 61 68 72 102 122 136 153 183 204 244 306 366 408 488 549 612 732 757 1037 1098 1224 1464 1514 2074 2196 2271 3028 3111 4148 4392 4542 6056 6222 6813 8296 9084 9333 12444 12869 13626 18168 18666 24888 25738 27252 37332 38607 46177 51476 54504 74664 77214 92354 102952 115821 138531 154428 184708 231642 277062 308856 369416 415593 463284 554124 785009 831186 926568 1108248 1570018 1662372 2355027 3140036 3324744 4710054 6280072 7065081 9420108 14130162 18840216 28260324 56520648