Search a number
-
+
56647116 = 223210315277
BaseRepresentation
bin1101100000010…
…1110111001100
310221120222020100
43120011313030
5104000201431
65342051100
71255330641
oct330056714
9127528210
1056647116
1129a808a9
1216b79a90
13b974b06
147747dc8
154e8e4e6
hex3605dcc

56647116 has 36 divisors (see below), whose sum is σ = 144590992. Its totient is φ = 18697824.

The previous prime is 56647103. The next prime is 56647133. The reversal of 56647116 is 61174665.

56647116 is a `hidden beast` number, since 5 + 6 + 647 + 1 + 1 + 6 = 666.

56647116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×566471162 = 6417791502234912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3931 + ... + 11346.

Almost surely, 256647116 is an apocalyptic number.

It is an amenable number.

56647116 is an abundant number, since it is smaller than the sum of its proper divisors (87943876).

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

56647116 is a wasteful number, since it uses less digits than its factorization.

56647116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15390 (or 15385 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 56647116 is about 7526.4278379587. The cubic root of 56647116 is about 384.0542729279.

The spelling of 56647116 in words is "fifty-six million, six hundred forty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 15277 30554 45831 61108 91662 137493 183324 274986 549972 1573531 3147062 4720593 6294124 9441186 14161779 18882372 28323558 56647116