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56466449 = 1322373199
BaseRepresentation
bin1101011101100…
…1110000010001
310221020210101222
43113121300101
5103423411244
65334134425
71253646134
oct327316021
9127223358
1056466449
1129968096
1216ab1415
13b910800
1476dc21b
154e55bee
hex35d9c11

56466449 has 24 divisors (see below), whose sum is σ = 65001600. Its totient is φ = 48926592.

The previous prime is 56466437. The next prime is 56466467. The reversal of 56466449 is 94466465.

It is a happy number.

56466449 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 56466449 - 24 = 56466433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56466409) 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, 283652 + ... + 283850.

It is an arithmetic number, because the mean of its divisors is an integer number (2708400).

Almost surely, 256466449 is an apocalyptic number.

It is an amenable number.

56466449 is a deficient number, since it is larger than the sum of its proper divisors (8535151).

56466449 is a wasteful number, since it uses less digits than its factorization.

56466449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its digits is 622080, while the sum is 44.

The square root of 56466449 is about 7514.4160784455. The cubic root of 56466449 is about 383.6455446798.

The spelling of 56466449 in words is "fifty-six million, four hundred sixty-six thousand, four hundred forty-nine".

Divisors: 1 13 23 73 169 199 299 949 1679 2587 3887 4577 12337 14527 21827 33631 59501 188851 283751 334121 773513 2455063 4343573 56466449