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56802672 = 2432433911
BaseRepresentation
bin1101100010101…
…1110101110000
310221212212121200
43120223311300
5104020141142
65345251200
71256546313
oct330536560
9127785550
1056802672
112a077763
1217033b00
13b9ca864
14778897a
154ec064c
hex362bd70

56802672 has 60 divisors (see below), whose sum is σ = 159510624. Its totient is φ = 18869760.

The previous prime is 56802643. The next prime is 56802673. The reversal of 56802672 is 27620865.

56802672 is a `hidden beast` number, since 568 + 0 + 26 + 72 = 666.

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 (56802673) 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, 61897 + ... + 62807.

Almost surely, 256802672 is an apocalyptic number.

It is an amenable number.

56802672 is an abundant number, since it is smaller than the sum of its proper divisors (102707952).

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

56802672 is a wasteful number, since it uses less digits than its factorization.

56802672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56802672 is about 7536.7547392760. The cubic root of 56802672 is about 384.4054961328.

The spelling of 56802672 in words is "fifty-six million, eight hundred two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 433 866 911 1299 1732 1822 2598 2733 3464 3644 3897 5196 5466 6928 7288 7794 8199 10392 10932 14576 15588 16398 20784 21864 31176 32796 43728 62352 65592 131184 394463 788926 1183389 1577852 2366778 3155704 3550167 4733556 6311408 7100334 9467112 14200668 18934224 28401336 56802672