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57904704 = 263211131937
BaseRepresentation
bin1101110011100…
…0111001000000
311000221212022200
43130320321000
5104310422304
65425033200
71302116244
oct334707100
9130855280
1057904704
112a75a730
1217485800
13bcc5350
147994424
15513be39
hex3738e40

57904704 has 336 divisors, whose sum is σ = 210799680. Its totient is φ = 14929920.

The previous prime is 57904699. The next prime is 57904747. The reversal of 57904704 is 40740975.

57904704 = T1 + T2 + ... + T702.

It is a happy number.

57904704 is a nontrivial binomial coefficient, being equal to C(704, 3).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is the 702-nd tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1564974 + ... + 1565010.

It is an arithmetic number, because the mean of its divisors is an integer number (627380).

Almost surely, 257904704 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 57904704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105399840).

57904704 is an abundant number, since it is smaller than the sum of its proper divisors (152894976).

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

57904704 is a wasteful number, since it uses less digits than its factorization.

57904704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57904704 is about 7609.5140449309. The cubic root of 57904704 is about 386.8755483892.

The spelling of 57904704 in words is "fifty-seven million, nine hundred four thousand, seven hundred four".