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57868368 = 2432324353
BaseRepresentation
bin1101110011000…
…0000001010000
311000220000110220
43130300001100
5104303241433
65424153040
71301605305
oct334600120
9130800426
1057868368
112a7353a8
1217468780
13bcb194c
1479850ac
1551312b3
hex3730050

57868368 has 120 divisors (see below), whose sum is σ = 162927072. Its totient is φ = 17681664.

The previous prime is 57868367. The next prime is 57868397. The reversal of 57868368 is 86386875.

It is a self number, because there is not a number n which added to its sum of digits gives 57868368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57868361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091830 + ... + 1091882.

Almost surely, 257868368 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 57868368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81463536).

57868368 is an abundant number, since it is smaller than the sum of its proper divisors (105058704).

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

57868368 is a wasteful number, since it uses less digits than its factorization.

57868368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 57868368 is about 7607.1261327784. The cubic root of 57868368 is about 386.7946082099.

The spelling of 57868368 in words is "fifty-seven million, eight hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 53 69 86 92 106 129 138 159 172 184 212 258 276 318 344 368 424 516 529 552 636 688 848 989 1032 1058 1104 1219 1272 1587 1978 2064 2116 2279 2438 2544 2967 3174 3657 3956 4232 4558 4876 5934 6348 6837 7314 7912 8464 9116 9752 11868 12696 13674 14628 15824 18232 19504 22747 23736 25392 27348 28037 29256 36464 45494 47472 52417 54696 56074 58512 68241 84111 90988 104834 109392 112148 136482 157251 168222 181976 209668 224296 272964 314502 336444 363952 419336 448592 545928 629004 672888 838672 1091856 1205591 1258008 1345776 2411182 2516016 3616773 4822364 7233546 9644728 14467092 19289456 28934184 57868368