Search a number
-
+
56807640 = 23325157799
BaseRepresentation
bin1101100010110…
…1000011011000
310221220010102200
43120231003120
5104020321030
65345330200
71256566641
oct330550330
9127803380
1056807640
112a08046a
1217036960
13b9ccbb6
14778a6c8
154ec1d60
hex362d0d8

56807640 has 48 divisors (see below), whose sum is σ = 184626000. Its totient is φ = 15148608.

The previous prime is 56807627. The next prime is 56807711. The reversal of 56807640 is 4670865.

It is a happy number.

56807640 is a `hidden beast` number, since 5 + 6 + 8 + 0 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56807595 and 56807604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78540 + ... + 79259.

It is an arithmetic number, because the mean of its divisors is an integer number (3846375).

Almost surely, 256807640 is an apocalyptic number.

It is an amenable number.

56807640 is an abundant number, since it is smaller than the sum of its proper divisors (127818360).

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

56807640 is a wasteful number, since it uses less digits than its factorization.

56807640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157816 (or 157809 counting only the distinct ones).

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

The square root of 56807640 is about 7537.0843168960. The cubic root of 56807640 is about 384.4167025941.

The spelling of 56807640 in words is "fifty-six million, eight hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 157799 315598 473397 631196 788995 946794 1262392 1420191 1577990 1893588 2366985 2840382 3155980 3787176 4733970 5680764 6311960 7100955 9467940 11361528 14201910 18935880 28403820 56807640