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57998928 = 24313412267
BaseRepresentation
bin1101110100111…
…1111001010000
311001010122120110
43131033321100
5104321431203
65431041320
71302661041
oct335177120
9131118513
1057998928
112a8144a9
1217510240
13c0291c0
1479ba8c8
155159d03
hex374fe50

57998928 has 80 divisors (see below), whose sum is σ = 165364416. Its totient is φ = 17402880.

The previous prime is 57998903. The next prime is 57998929. The reversal of 57998928 is 82989975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57998929) 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, 24451 + ... + 26717.

Almost surely, 257998928 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 57998928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82682208).

57998928 is an abundant number, since it is smaller than the sum of its proper divisors (107365488).

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

57998928 is a wasteful number, since it uses less digits than its factorization.

57998928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2326 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The square root of 57998928 is about 7615.7027252907. The cubic root of 57998928 is about 387.0852792321.

The spelling of 57998928 in words is "fifty-seven million, nine hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 2267 3198 4264 4534 6396 6801 8528 9068 12792 13602 18136 25584 27204 29471 36272 54408 58942 88413 92947 108816 117884 176826 185894 235768 278841 353652 371788 471536 557682 707304 743576 1115364 1208311 1414608 1487152 2230728 2416622 3624933 4461456 4833244 7249866 9666488 14499732 19332976 28999464 57998928