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57255948 = 22325233041
BaseRepresentation
bin1101101001101…
…0100000001100
310222201220101200
43122122200030
5104124142243
65403105500
71263444651
oct332324014
9128656350
1057255948
112a357272
1217212290
13bb28c79
147865c28
15505ead3
hex369a80c

57255948 has 36 divisors (see below), whose sum is σ = 145054728. Its totient is φ = 19042560.

The previous prime is 57255943. The next prime is 57255971. The reversal of 57255948 is 84955275.

57255948 is a `hidden beast` number, since 57 + 2 + 5 + 594 + 8 = 666.

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 (57255941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17308 + ... + 20348.

It is an arithmetic number, because the mean of its divisors is an integer number (4029298).

Almost surely, 257255948 is an apocalyptic number.

It is an amenable number.

57255948 is an abundant number, since it is smaller than the sum of its proper divisors (87798780).

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

57255948 is a wasteful number, since it uses less digits than its factorization.

57255948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3569 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 57255948 is about 7566.7660199057. The cubic root of 57255948 is about 385.4252859288.

The spelling of 57255948 in words is "fifty-seven million, two hundred fifty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 523 1046 1569 2092 3041 3138 4707 6082 6276 9123 9414 12164 18246 18828 27369 36492 54738 109476 1590443 3180886 4771329 6361772 9542658 14313987 19085316 28627974 57255948