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57259553 = 13171092377
BaseRepresentation
bin1101101001101…
…1011000100001
310222202002100012
43122123120201
5104124301203
65403134305
71263461321
oct332333041
9128662305
1057259553
112a359a4a
1217214395
13bb2a7c0
147867281
155060bd8
hex369b621

57259553 has 16 divisors (see below), whose sum is σ = 65918160. Its totient is φ = 49268736.

The previous prime is 57259537. The next prime is 57259567. The reversal of 57259553 is 35595275.

57259553 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 64 + 57259489 = 8^2 + 7567^2 .

It is a cyclic number.

It is not a de Polignac number, because 57259553 - 24 = 57259537 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57259553.

It is not an unprimeable number, because it can be changed into a prime (57255553) 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, 22901 + ... + 25277.

It is an arithmetic number, because the mean of its divisors is an integer number (4119885).

Almost surely, 257259553 is an apocalyptic number.

It is an amenable number.

57259553 is a deficient number, since it is larger than the sum of its proper divisors (8658607).

57259553 is a wasteful number, since it uses less digits than its factorization.

57259553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516.

The product of its digits is 236250, while the sum is 41.

The square root of 57259553 is about 7567.0042288874. The cubic root of 57259553 is about 385.4333749224.

The spelling of 57259553 in words is "fifty-seven million, two hundred fifty-nine thousand, five hundred fifty-three".

Divisors: 1 13 17 109 221 1417 1853 2377 24089 30901 40409 259093 525317 3368209 4404581 57259553