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56444465 = 5711146609
BaseRepresentation
bin1101011101010…
…0011000110001
310221012200020202
43113110120301
5103422210330
65333444545
71253525060
oct327243061
9127180222
1056444465
1129952620
1216aa0755
13b9037bc
1476d41d7
154e4e445
hex35d4631

56444465 has 16 divisors (see below), whose sum is σ = 84447360. Its totient is φ = 35185920.

The previous prime is 56444447. The next prime is 56444489.

56444465 is nontrivially palindromic in base 10.

56444465 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 56444465 - 210 = 56443441 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 72920 + ... + 73689.

It is an arithmetic number, because the mean of its divisors is an integer number (5277960).

Almost surely, 256444465 is an apocalyptic number.

56444465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56444465 is a deficient number, since it is larger than the sum of its proper divisors (28002895).

56444465 is a wasteful number, since it uses less digits than its factorization.

56444465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146632.

The product of its digits is 230400, while the sum is 38.

The square root of 56444465 is about 7512.9531477309. The cubic root of 56444465 is about 383.5957501641.

It can be divided in two parts, 56 and 444465, that multiplied together give a triangular number (24890040 = T7055).

The spelling of 56444465 in words is "fifty-six million, four hundred forty-four thousand, four hundred sixty-five".

Divisors: 1 5 7 11 35 55 77 385 146609 733045 1026263 1612699 5131315 8063495 11288893 56444465