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56347265 = 5131750993
BaseRepresentation
bin1101011011110…
…0101010000001
310221000201220202
43112330222001
5103411103030
65331414545
71252641512
oct326745201
9127021822
1056347265
1129896597
1216a54455
13b89b4a0
1476aaa09
154e30745
hex35bca81

56347265 has 16 divisors (see below), whose sum is σ = 77102928. Its totient is φ = 39161856.

The previous prime is 56347259. The next prime is 56347267. The reversal of 56347265 is 56274365.

56347265 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 8 ways, for example, as 11296321 + 45050944 = 3361^2 + 6712^2 .

It is a cyclic number.

It is not a de Polignac number, because 56347265 - 224 = 39570049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56347267) 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 15 ways as a sum of consecutive naturals, for example, 24392 + ... + 26601.

It is an arithmetic number, because the mean of its divisors is an integer number (4818933).

Almost surely, 256347265 is an apocalyptic number.

It is an amenable number.

56347265 is a deficient number, since it is larger than the sum of its proper divisors (20755663).

56347265 is a wasteful number, since it uses less digits than its factorization.

56347265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51028.

The product of its digits is 151200, while the sum is 38.

The square root of 56347265 is about 7506.4815326490. The cubic root of 56347265 is about 383.3754337294.

Subtracting from 56347265 its reverse (56274365), we obtain a square (72900 = 2702).

The spelling of 56347265 in words is "fifty-six million, three hundred forty-seven thousand, two hundred sixty-five".

Divisors: 1 5 13 17 65 85 221 1105 50993 254965 662909 866881 3314545 4334405 11269453 56347265