[go: up one dir, main page]

Search a number
-
+
57252560 = 245715657
BaseRepresentation
bin1101101001100…
…1101011010000
310222201201202012
43122121223100
5104124040220
65403042052
71263432041
oct332315320
9128651665
1057252560
112a354772
1217210328
13bb27571
1478648c8
15505dac5
hex3699ad0

57252560 has 20 divisors (see below), whose sum is σ = 133112388. Its totient is φ = 22900992.

The previous prime is 57252551. The next prime is 57252563. The reversal of 57252560 is 6525275.

57252560 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 33085504 + 24167056 = 5752^2 + 4916^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57252563) 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 3 ways as a sum of consecutive naturals, for example, 357749 + ... + 357908.

Almost surely, 257252560 is an apocalyptic number.

It is an amenable number.

57252560 is an abundant number, since it is smaller than the sum of its proper divisors (75859828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57252560 is a wasteful number, since it uses less digits than its factorization.

57252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715670 (or 715664 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 57252560 is about 7566.5421428814. The cubic root of 57252560 is about 385.4176835360.

The spelling of 57252560 in words is "fifty-seven million, two hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 715657 1431314 2862628 3578285 5725256 7156570 11450512 14313140 28626280 57252560