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56077728 = 253783449
BaseRepresentation
bin1101010111101…
…0110110100000
310220112001011220
43111322312200
5103323441403
65321535040
71250436630
oct325726640
9126461156
1056077728
1129722033
1216944480
13b8058b5
14763a6c0
154dca953
hex357ada0

56077728 has 48 divisors (see below), whose sum is σ = 168235200. Its totient is φ = 16022016.

The previous prime is 56077699. The next prime is 56077733. The reversal of 56077728 is 82777065.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 56077728.

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, 41053 + ... + 42396.

It is an arithmetic number, because the mean of its divisors is an integer number (3504900).

Almost surely, 256077728 is an apocalyptic number.

It is an amenable number.

56077728 is an abundant number, since it is smaller than the sum of its proper divisors (112157472).

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

56077728 is a wasteful number, since it uses less digits than its factorization.

56077728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83469 (or 83461 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 56077728 is about 7488.5063931334. The cubic root of 56077728 is about 382.7631646198.

The spelling of 56077728 in words is "fifty-six million, seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 83449 166898 250347 333796 500694 584143 667592 1001388 1168286 1335184 1752429 2002776 2336572 2670368 3504858 4005552 4673144 7009716 8011104 9346288 14019432 18692576 28038864 56077728