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56402688 = 2832712
BaseRepresentation
bin1101011100101…
…0001100000000
310221010112221110
43113022030000
5103414341223
65332523320
71253262216
oct327121400
9127115843
1056402688
11299241a1
1216a80540
13b8ba794
1476c2cb6
154e41d93
hex35ca300

56402688 has 54 divisors (see below), whose sum is σ = 150669372. Its totient is φ = 18731520.

The previous prime is 56402681. The next prime is 56402699. The reversal of 56402688 is 88620465.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56402681) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207993 + ... + 208263.

Almost surely, 256402688 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 56402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75334686).

56402688 is an abundant number, since it is smaller than the sum of its proper divisors (94266684).

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

56402688 is an frugal number, since it uses more digits than its factorization.

56402688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 56402688 is about 7510.1723016187. The cubic root of 56402688 is about 383.5010881809.

The spelling of 56402688 in words is "fifty-six million, four hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 542 768 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 34688 52032 69376 73441 104064 146882 208128 220323 293764 440646 587528 881292 1175056 1762584 2350112 3525168 4700224 7050336 9400448 14100672 18800896 28201344 56402688