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57305872 = 2413221193
BaseRepresentation
bin1101101010011…
…0101100010000
310222211102212201
43122212230100
5104132241442
65404132544
71264043341
oct332465420
9128742781
1057305872
112a390828
1217237154
13bb45900
14787a0c8
15506e7b7
hex36a6b10

57305872 has 30 divisors (see below), whose sum is σ = 120233562. Its totient is φ = 26447616.

The previous prime is 57305869. The next prime is 57305873. The reversal of 57305872 is 27850375.

It can be written as a sum of positive squares in 3 ways, for example, as 4946176 + 52359696 = 2224^2 + 7236^2 .

It is not an unprimeable number, because it can be changed into a prime (57305873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7893 + ... + 13300.

Almost surely, 257305872 is an apocalyptic number.

57305872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

57305872 is an abundant number, since it is smaller than the sum of its proper divisors (62927690).

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

57305872 is a wasteful number, since it uses less digits than its factorization.

57305872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21227 (or 21208 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 57305872 is about 7570.0642005204. The cubic root of 57305872 is about 385.5372765179.

The spelling of 57305872 in words is "fifty-seven million, three hundred five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 21193 42386 84772 169544 275509 339088 551018 1102036 2204072 3581617 4408144 7163234 14326468 28652936 57305872