Search a number
-
+
56361456 = 2432391399
BaseRepresentation
bin1101011100000…
…0000111110000
310221001110101100
43113000013300
5103412031311
65332004400
71253031054
oct327000760
9127043340
1056361456
11298a6218
1216a60700
13b8a4a98
1476b1c64
154e34a56
hex35c01f0

56361456 has 30 divisors (see below), whose sum is σ = 157734200. Its totient is φ = 18787104.

The previous prime is 56361451. The next prime is 56361463. The reversal of 56361456 is 65416365.

56361456 is a `hidden beast` number, since 5 + 636 + 14 + 5 + 6 = 666.

It is a super-2 number, since 2×563614562 = 6353227444879872, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 56361456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56361451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 195556 + ... + 195843.

Almost surely, 256361456 is an apocalyptic number.

It is an amenable number.

56361456 is an abundant number, since it is smaller than the sum of its proper divisors (101372744).

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

56361456 is a wasteful number, since it uses less digits than its factorization.

56361456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391413 (or 391404 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 56361456 is about 7507.4267229191. The cubic root of 56361456 is about 383.4076152624.

The spelling of 56361456 in words is "fifty-six million, three hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 391399 782798 1174197 1565596 2348394 3131192 3522591 4696788 6262384 7045182 9393576 14090364 18787152 28180728 56361456