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57508992 = 273249921
BaseRepresentation
bin1101101101100…
…0010010000000
311000012202111200
43123120102000
5104210241432
65412341200
71265550462
oct333302200
9130182450
1057508992
112a50a3a2
1217314800
13bbb71b8
1478d0132
1550aea7c
hex36d8480

57508992 has 48 divisors (see below), whose sum is σ = 165491430. Its totient is φ = 19169280.

The previous prime is 57508987. The next prime is 57509003. The reversal of 57508992 is 29980575.

It is a happy number.

57508992 is a `hidden beast` number, since 57 + 508 + 9 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38638656 + 18870336 = 6216^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23809 + ... + 26112.

Almost surely, 257508992 is an apocalyptic number.

It is an amenable number.

57508992 is an abundant number, since it is smaller than the sum of its proper divisors (107982438).

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

57508992 is a wasteful number, since it uses less digits than its factorization.

57508992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49941 (or 49926 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 57508992 is about 7583.4683357946. The cubic root of 57508992 is about 385.9922501956.

The spelling of 57508992 in words is "fifty-seven million, five hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 49921 99842 149763 199684 299526 399368 449289 599052 798736 898578 1198104 1597472 1797156 2396208 3194944 3594312 4792416 6389888 7188624 9584832 14377248 19169664 28754496 57508992