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56444967 = 3223367743
BaseRepresentation
bin1101011101010…
…0100000100111
310221012200221100
43113110200213
5103422214332
65333451143
71253526405
oct327244047
9127180840
1056444967
1129952a37
1216aa0ab3
13b903ab7
1476d4475
154e4e67c
hex35d4827

56444967 has 24 divisors (see below), whose sum is σ = 85423104. Its totient is φ = 35847504.

The previous prime is 56444963. The next prime is 56444977. The reversal of 56444967 is 76944465.

56444967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56444967 - 22 = 56444963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56444963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75598 + ... + 76340.

It is an arithmetic number, because the mean of its divisors is an integer number (3559296).

Almost surely, 256444967 is an apocalyptic number.

56444967 is a deficient number, since it is larger than the sum of its proper divisors (28978137).

56444967 is a wasteful number, since it uses less digits than its factorization.

56444967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1136 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 56444967 is about 7512.9865566231. The cubic root of 56444967 is about 383.5968873556.

The spelling of 56444967 in words is "fifty-six million, four hundred forty-four thousand, nine hundred sixty-seven".

Divisors: 1 3 9 23 69 207 367 743 1101 2229 3303 6687 8441 17089 25323 51267 75969 153801 272681 818043 2454129 6271663 18814989 56444967