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56709640 = 2351328389
BaseRepresentation
bin1101100001010…
…1001000001000
310221201011000001
43120111020020
5104004202030
65343252344
71256011141
oct330251010
9127634001
1056709640
112a013879
1216baa0b4
13b997400
147762ac8
154ea2cca
hex3615208

56709640 has 48 divisors (see below), whose sum is σ = 138183300. Its totient is φ = 20936448.

The previous prime is 56709613. The next prime is 56709677. The reversal of 56709640 is 4690765.

It can be written as a sum of positive squares in 6 ways, for example, as 14485636 + 42224004 = 3806^2 + 6498^2 .

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 56709640.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2566 + ... + 10954.

Almost surely, 256709640 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 56709640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69091650).

56709640 is an abundant number, since it is smaller than the sum of its proper divisors (81473660).

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

56709640 is a wasteful number, since it uses less digits than its factorization.

56709640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8426 (or 8409 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 56709640 is about 7530.5803229233. The cubic root of 56709640 is about 384.1955203668.

The spelling of 56709640 in words is "fifty-six million, seven hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 8389 16778 33556 41945 67112 83890 109057 167780 218114 335560 436228 545285 872456 1090570 1417741 2181140 2835482 4362280 5670964 7088705 11341928 14177410 28354820 56709640