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57314816 = 291379109
BaseRepresentation
bin1101101010100…
…0111000000000
310222211220010222
43122220320000
5104133033231
65404242212
71264111406
oct332507000
9128756128
1057314816
112a397519
1217240368
13bb499c0
14787d476
15507227b
hex36a8e00

57314816 has 80 divisors (see below), whose sum is σ = 126033600. Its totient is φ = 25878528.

The previous prime is 57314797. The next prime is 57314819. The reversal of 57314816 is 61841375.

It is a super-2 number, since 2×573148162 = 6569976266227712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57314819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525770 + ... + 525878.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 257314816 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 57314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63016800).

57314816 is an abundant number, since it is smaller than the sum of its proper divisors (68718784).

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

57314816 is a wasteful number, since it uses less digits than its factorization.

57314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 57314816 is about 7570.6549254341. The cubic root of 57314816 is about 385.5573330200.

The spelling of 57314816 in words is "fifty-seven million, three hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 109 128 158 208 218 256 316 416 436 512 632 832 872 1027 1264 1417 1664 1744 2054 2528 2834 3328 3488 4108 5056 5668 6656 6976 8216 8611 10112 11336 13952 16432 17222 20224 22672 27904 32864 34444 40448 45344 55808 65728 68888 90688 111943 131456 137776 181376 223886 262912 275552 362752 447772 525824 551104 725504 895544 1102208 1791088 2204416 3582176 4408832 7164352 14328704 28657408 57314816