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57590496 = 2532199967
BaseRepresentation
bin1101101110110…
…0001011100000
311000100220022100
43123230023200
5104220343441
65414210400
71266340215
oct333541340
9130326270
1057590496
112a565657
1217353a00
13bc15322
147911b0c
1550c8cb6
hex36ec2e0

57590496 has 36 divisors (see below), whose sum is σ = 163773792. Its totient is φ = 19196736.

The previous prime is 57590461. The next prime is 57590497. The reversal of 57590496 is 69409575.

It is a happy number.

57590496 is a `hidden beast` number, since 5 + 75 + 90 + 496 = 666.

57590496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57590497) 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 5 ways as a sum of consecutive naturals, for example, 99696 + ... + 100271.

It is an arithmetic number, because the mean of its divisors is an integer number (4549272).

Almost surely, 257590496 is an apocalyptic number.

It is an amenable number.

57590496 is an abundant number, since it is smaller than the sum of its proper divisors (106183296).

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

57590496 is a wasteful number, since it uses less digits than its factorization.

57590496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199983 (or 199972 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 57590496 is about 7588.8402275974. The cubic root of 57590496 is about 386.1745119074.

The spelling of 57590496 in words is "fifty-seven million, five hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 199967 399934 599901 799868 1199802 1599736 1799703 2399604 3199472 3599406 4799208 6398944 7198812 9598416 14397624 19196832 28795248 57590496