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57582020 = 2252879101
BaseRepresentation
bin1101101110101…
…0000111000100
311000100110200102
43123222013010
5104220111040
65414103232
71266303416
oct333520704
9130313612
1057582020
112a55a251
121734ab18
13bc11502
14790c9b6
1550c6515
hex36ea1c4

57582020 has 12 divisors (see below), whose sum is σ = 120922284. Its totient is φ = 23032800.

The previous prime is 57581983. The next prime is 57582061. The reversal of 57582020 is 2028575.

57582020 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 30625156 + 26956864 = 5534^2 + 5192^2 .

It is an unprimeable number.

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, 1439531 + ... + 1439570.

It is an arithmetic number, because the mean of its divisors is an integer number (10076857).

Almost surely, 257582020 is an apocalyptic number.

It is an amenable number.

57582020 is an abundant number, since it is smaller than the sum of its proper divisors (63340264).

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

57582020 is a wasteful number, since it uses less digits than its factorization.

57582020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879110 (or 2879108 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 57582020 is about 7588.2817554437. The cubic root of 57582020 is about 386.1555656346.

The spelling of 57582020 in words is "fifty-seven million, five hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 2879101 5758202 11516404 14395505 28791010 57582020