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56674368 = 2632611613
BaseRepresentation
bin1101100000110…
…0100001000000
310221122100121200
43120030201000
5104002034433
65342421200
71255503252
oct330144100
9127570550
1056674368
1129a9a323
1216b91800
13b98433a
147753cd2
154e97613
hex360c840

56674368 has 84 divisors (see below), whose sum is σ = 165212268. Its totient is φ = 18570240.

The previous prime is 56674367. The next prime is 56674403. The reversal of 56674368 is 86347665.

It can be written as a sum of positive squares in 2 ways, for example, as 15303744 + 41370624 = 3912^2 + 6432^2 .

It is not an unprimeable number, because it can be changed into a prime (56674361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34330 + ... + 35942.

Almost surely, 256674368 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 56674368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82606134).

56674368 is an abundant number, since it is smaller than the sum of its proper divisors (108537900).

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

56674368 is a wasteful number, since it uses less digits than its factorization.

56674368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1679 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 56674368 is about 7528.2380408699. The cubic root of 56674368 is about 384.1158504618.

The spelling of 56674368 in words is "fifty-six million, six hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1613 1952 2196 2928 3226 3904 4392 4839 5856 6452 8784 9678 11712 12904 14517 17568 19356 25808 29034 35136 38712 51616 58068 77424 98393 103232 116136 154848 196786 232272 295179 309696 393572 464544 590358 787144 885537 929088 1180716 1574288 1771074 2361432 3148576 3542148 4722864 6297152 7084296 9445728 14168592 18891456 28337184 56674368