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56673536 = 28534177
BaseRepresentation
bin1101100000110…
…0010100000000
310221122022110212
43120030110000
5104002023121
65342413252
71255500653
oct330142400
9127568425
1056673536
1129a99737
1216b91228
13b983b4a
14775389a
154e9725b
hex360c500

56673536 has 36 divisors (see below), whose sum is σ = 115287732. Its totient is φ = 27795456.

The previous prime is 56673503. The next prime is 56673557. The reversal of 56673536 is 63537665.

It can be written as a sum of positive squares in 2 ways, for example, as 47334400 + 9339136 = 6880^2 + 3056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56673493 and 56673502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11480 + ... + 15656.

It is an arithmetic number, because the mean of its divisors is an integer number (3202437).

Almost surely, 256673536 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 56673536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57643866).

56673536 is an abundant number, since it is smaller than the sum of its proper divisors (58614196).

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

56673536 is an equidigital number, since it uses as much as digits as its factorization.

56673536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4232 counting only the distinct ones).

The product of its digits is 340200, while the sum is 41.

The square root of 56673536 is about 7528.1827820531. The cubic root of 56673536 is about 384.1139707999.

The spelling of 56673536 in words is "fifty-six million, six hundred seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 4177 6784 8354 13568 16708 33416 66832 133664 221381 267328 442762 534656 885524 1069312 1771048 3542096 7084192 14168384 28336768 56673536