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57804096 = 2637411049
BaseRepresentation
bin1101110010000…
…0010101000000
311000202202022110
43130200111000
5104244212341
65422535320
71301220030
oct334402500
9130682273
1057804096
112a6a1089
1217437540
13bc8b60c
1479698c0
15511c216
hex3720540

57804096 has 112 divisors (see below), whose sum is σ = 179222400. Its totient is φ = 16097280.

The previous prime is 57804059. The next prime is 57804113. The reversal of 57804096 is 69040875.

It is a tau number, because it is divible by the number of its divisors (112).

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, 54580 + ... + 55628.

It is an arithmetic number, because the mean of its divisors is an integer number (1600200).

Almost surely, 257804096 is an apocalyptic number.

57804096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89611200).

57804096 is an abundant number, since it is smaller than the sum of its proper divisors (121418304).

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

57804096 is a wasteful number, since it uses less digits than its factorization.

57804096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 57804096 is about 7602.9004991516. The cubic root of 57804096 is about 386.6513562441.

The spelling of 57804096 in words is "fifty-seven million, eight hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1049 1148 1312 1344 1722 1968 2098 2296 2624 3147 3444 3936 4196 4592 6294 6888 7343 7872 8392 9184 12588 13776 14686 16784 18368 22029 25176 27552 29372 33568 43009 44058 50352 55104 58744 67136 86018 88116 100704 117488 129027 172036 176232 201408 234976 258054 301063 344072 352464 469952 516108 602126 688144 704928 903189 1032216 1204252 1376288 1409856 1806378 2064432 2408504 2752576 3612756 4128864 4817008 7225512 8257728 9634016 14451024 19268032 28902048 57804096