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57014364 = 2231119127179
BaseRepresentation
bin1101100101111…
…1100001011100
310222021122000010
43121133201130
5104043424424
65354003220
71261420431
oct331374134
9128248003
1057014364
112a201810
1217116510
13ba73014
147801b88
155013229
hex365f85c

57014364 has 96 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 16148160.

The previous prime is 57014351. The next prime is 57014371. The reversal of 57014364 is 46341075.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318427 + ... + 318605.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 257014364 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 57014364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

57014364 is an abundant number, since it is smaller than the sum of its proper divisors (97814436).

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

57014364 is a wasteful number, since it uses less digits than its factorization.

57014364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 57014364 is about 7550.7856544866. The cubic root of 57014364 is about 384.8824378221.

Subtracting from 57014364 its reverse (46341075), we obtain a square (10673289 = 32672).

The spelling of 57014364 in words is "fifty-seven million, fourteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 127 132 179 209 228 254 358 381 418 508 537 627 716 762 836 1074 1254 1397 1524 1969 2148 2413 2508 2794 3401 3938 4191 4826 5588 5907 6802 7239 7876 8382 9652 10203 11814 13604 14478 16764 20406 22733 23628 26543 28956 37411 40812 45466 53086 68199 74822 79629 90932 106172 112233 136398 149644 159258 224466 250063 272796 318516 431927 448932 500126 750189 863854 1000252 1295781 1500378 1727708 2591562 3000756 4751197 5183124 9502394 14253591 19004788 28507182 57014364