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56661440 = 2651116097
BaseRepresentation
bin1101100000100…
…1010111000000
310221121200212212
43120021113000
5104001131230
65342241252
71255420463
oct330112700
9127550785
1056661440
1129a90640
1216b86228
13b97b4a4
14774d2da
154e93895
hex36095c0

56661440 has 56 divisors (see below), whose sum is σ = 147200112. Its totient is φ = 20602880.

The previous prime is 56661427. The next prime is 56661491. The reversal of 56661440 is 4416665.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 56661397 and 56661406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4529 + ... + 11568.

Almost surely, 256661440 is an apocalyptic number.

It is an amenable number.

56661440 is an abundant number, since it is smaller than the sum of its proper divisors (90538672).

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

56661440 is a wasteful number, since it uses less digits than its factorization.

56661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16125 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 56661440 is about 7527.3793580502. The cubic root of 56661440 is about 384.0866413294.

The spelling of 56661440 in words is "fifty-six million, six hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 16097 32194 64388 80485 128776 160970 177067 257552 321940 354134 515104 643880 708268 885335 1030208 1287760 1416536 1770670 2575520 2833072 3541340 5151040 5666144 7082680 11332288 14165360 28330720 56661440