Search a number
-
+
56446056 = 23322413253
BaseRepresentation
bin1101011101010…
…0110001101000
310221012202102200
43113110301220
5103422233211
65333500200
71253532522
oct327246150
9127182380
1056446056
1129953837
1216aa1660
13b904444
1476d4a12
154e4eb56
hex35d4c68

56446056 has 48 divisors (see below), whose sum is σ = 153556260. Its totient is φ = 18731520.

The previous prime is 56446043. The next prime is 56446063. The reversal of 56446056 is 65064465.

It is a happy number.

56446056 is a `hidden beast` number, since 5 + 6 + 44 + 605 + 6 = 666.

56446056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43956900 + 12489156 = 6630^2 + 3534^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 56446056.

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, 15726 + ... + 18978.

Almost surely, 256446056 is an apocalyptic number.

56446056 is the 4338-th octagonal number.

It is an amenable number.

56446056 is an abundant number, since it is smaller than the sum of its proper divisors (97110204).

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

56446056 is a wasteful number, since it uses less digits than its factorization.

56446056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56446056 is about 7513.0590307810. The cubic root of 56446056 is about 383.5993542678.

The spelling of 56446056 in words is "fifty-six million, four hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241 482 723 964 1446 1928 2169 2892 3253 4338 5784 6506 8676 9759 13012 17352 19518 26024 29277 39036 58554 78072 117108 234216 783973 1567946 2351919 3135892 4703838 6271784 7055757 9407676 14111514 18815352 28223028 56446056