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57874768 = 2473179211
BaseRepresentation
bin1101110011000…
…1100101010000
311000220100020221
43130301211100
5104303443033
65424242424
71301633050
oct334614520
9130810227
1057874768
112a73a196
1217470414
13bcb4833
147987560
15513312d
hex3731950

57874768 has 80 divisors (see below), whose sum is σ = 134594560. Its totient is φ = 23587200.

The previous prime is 57874721. The next prime is 57874769. The reversal of 57874768 is 86747875.

Its product of digits (2634240) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57874769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274183 + ... + 274393.

It is an arithmetic number, because the mean of its divisors is an integer number (1682432).

Almost surely, 257874768 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 57874768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67297280).

57874768 is an abundant number, since it is smaller than the sum of its proper divisors (76719792).

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

57874768 is a wasteful number, since it uses less digits than its factorization.

57874768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 52.

The square root of 57874768 is about 7607.5467793501. The cubic root of 57874768 is about 386.8088669741.

The spelling of 57874768 in words is "fifty-seven million, eight hundred seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 79 112 124 158 211 217 248 316 422 434 496 553 632 844 868 1106 1264 1477 1688 1736 2212 2449 2954 3376 3472 4424 4898 5908 6541 8848 9796 11816 13082 16669 17143 19592 23632 26164 33338 34286 39184 45787 52328 66676 68572 91574 104656 116683 133352 137144 183148 233366 266704 274288 366296 466732 516739 732592 933464 1033478 1866928 2066956 3617173 4133912 7234346 8267824 14468692 28937384 57874768