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56800457 = 7441577
BaseRepresentation
bin1101100010101…
…1010011001001
310221212202120122
43120223103021
5104020103312
65345233025
71256540000
oct330532311
9127782518
1056800457
112a07602a
1217032775
13b9c984c
147787c37
154ebeb72
hex362b4c9

56800457 has 20 divisors (see below), whose sum is σ = 67997076. Its totient is φ = 47416320.

The previous prime is 56800453. The next prime is 56800477. The reversal of 56800457 is 75400865.

56800457 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 32307856 + 24492601 = 5684^2 + 4949^2 .

It is not a de Polignac number, because 56800457 - 22 = 56800453 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56800453) 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 19 ways as a sum of consecutive naturals, for example, 98153 + ... + 98729.

Almost surely, 256800457 is an apocalyptic number.

It is an amenable number.

56800457 is a deficient number, since it is larger than the sum of its proper divisors (11196619).

56800457 is an frugal number, since it uses more digits than its factorization.

56800457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 56800457 is about 7536.6077913077. The cubic root of 56800457 is about 384.4004994827.

The spelling of 56800457 in words is "fifty-six million, eight hundred thousand, four hundred fifty-seven".

Divisors: 1 7 41 49 287 343 577 2009 2401 4039 14063 23657 28273 98441 165599 197911 1159193 1385377 8114351 56800457