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56079072 = 2532727817
BaseRepresentation
bin1101010111101…
…1001011100000
310220112010000200
43111323023200
5103324012242
65321545200
71250443560
oct325731340
9126463020
1056079072
1129723045
1216945200
13b8063aa
14763ada0
154dcb04c
hex357b2e0

56079072 has 72 divisors (see below), whose sum is σ = 182263536. Its totient is φ = 16022016.

The previous prime is 56079061. The next prime is 56079077. The reversal of 56079072 is 27097065.

56079072 is a `hidden beast` number, since 560 + 7 + 90 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56079077) 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, 11893 + ... + 15924.

It is an arithmetic number, because the mean of its divisors is an integer number (2531438).

Almost surely, 256079072 is an apocalyptic number.

It is an amenable number.

56079072 is an abundant number, since it is smaller than the sum of its proper divisors (126184464).

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

56079072 is a wasteful number, since it uses less digits than its factorization.

56079072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27840 (or 27829 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 56079072 is about 7488.5961301168. The cubic root of 56079072 is about 382.7662224563.

The spelling of 56079072 in words is "fifty-six million, seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 27817 55634 83451 111268 166902 194719 222536 250353 333804 389438 445072 500706 584157 667608 778876 890144 1001412 1168314 1335216 1557752 1752471 2002824 2336628 2670432 3115504 3504942 4005648 4673256 6231008 7009884 8011296 9346512 14019768 18693024 28039536 56079072