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57138744 = 23313434259
BaseRepresentation
bin1101100111110…
…1111000111000
310222111221121210
43121331320320
5104111414434
65400403120
71262446155
oct331757070
9128457553
1057138744
112a287203
12171764a0
13bab7810
14783522c
155039ee9
hex367de38

57138744 has 64 divisors (see below), whose sum is σ = 157449600. Its totient is φ = 17168256.

The previous prime is 57138721. The next prime is 57138791. The reversal of 57138744 is 44783175.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11287 + ... + 15545.

It is an arithmetic number, because the mean of its divisors is an integer number (2460150).

Almost surely, 257138744 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 57138744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78724800).

57138744 is an abundant number, since it is smaller than the sum of its proper divisors (100310856).

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

57138744 is a wasteful number, since it uses less digits than its factorization.

57138744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4320 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 57138744 is about 7559.0173964610. The cubic root of 57138744 is about 385.1621153443.

The spelling of 57138744 in words is "fifty-seven million, one hundred thirty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4259 4472 6708 8518 12777 13416 17036 25554 34072 51108 55367 102216 110734 166101 183137 221468 332202 366274 442936 549411 664404 732548 1098822 1328808 1465096 2197644 2380781 4395288 4761562 7142343 9523124 14284686 19046248 28569372 57138744