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57664432 = 2471673083
BaseRepresentation
bin1101101111111…
…0001110110000
311000111122201201
43123332032300
5104230230212
65415540544
71300065610
oct333761660
9130448651
1057664432
112a606161
121738a754
13bc3cb87
147930a40
1550e0b57
hex36fe3b0

57664432 has 40 divisors (see below), whose sum is σ = 128491776. Its totient is φ = 24557376.

The previous prime is 57664403. The next prime is 57664469. The reversal of 57664432 is 23446675.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57664391 and 57664400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17163 + ... + 20245.

Almost surely, 257664432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57664432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64245888).

57664432 is an abundant number, since it is smaller than the sum of its proper divisors (70827344).

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

57664432 is a wasteful number, since it uses less digits than its factorization.

57664432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3259 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 57664432 is about 7593.7100287014. The cubic root of 57664432 is about 386.3397011357.

The spelling of 57664432 in words is "fifty-seven million, six hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1169 1336 2338 2672 3083 4676 6166 9352 12332 18704 21581 24664 43162 49328 86324 172648 345296 514861 1029722 2059444 3604027 4118888 7208054 8237776 14416108 28832216 57664432