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57042216 = 233271110289
BaseRepresentation
bin1101100110011…
…0010100101000
310222100001012200
43121212110220
5104100322331
65354340200
71261564560
oct331462450
9128301180
1057042216
112a220730
121712a660
13ba828ba
14780bda0
15501b5e6
hex3666528

57042216 has 96 divisors (see below), whose sum is σ = 192628800. Its totient is φ = 14814720.

The previous prime is 57042211. The next prime is 57042229. The reversal of 57042216 is 61224075.

It is a self number, because there is not a number n which added to its sum of digits gives 57042216.

It is not an unprimeable number, because it can be changed into a prime (57042211) 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, 400 + ... + 10688.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 257042216 is an apocalyptic number.

57042216 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 57042216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96314400).

57042216 is an abundant number, since it is smaller than the sum of its proper divisors (135586584).

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

57042216 is a wasteful number, since it uses less digits than its factorization.

57042216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57042216 is about 7552.6297406930. The cubic root of 57042216 is about 384.9451003970.

The spelling of 57042216 in words is "fifty-seven million, forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 10289 20578 30867 41156 61734 72023 82312 92601 113179 123468 144046 185202 216069 226358 246936 288092 339537 370404 432138 452716 576184 648207 679074 740808 792253 864276 905432 1018611 1296414 1358148 1584506 1728552 2037222 2376759 2592828 2716296 3169012 4074444 4753518 5185656 6338024 7130277 8148888 9507036 14260554 19014072 28521108 57042216