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57894912 = 21134349
BaseRepresentation
bin1101110011011…
…0100000000000
311000221100220000
43130312200000
5104310114122
65424520000
71302045555
oct334664000
9130840800
1057894912
112a753339
1217480000
13bcc0a5a
147990a2c
1551390ac
hex3736800

57894912 has 120 divisors (see below), whose sum is σ = 173423250. Its totient is φ = 19243008.

The previous prime is 57894883. The next prime is 57894923. The reversal of 57894912 is 21949875.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 14017536 = 6624^2 + 3744^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165714 + ... + 166062.

Almost surely, 257894912 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 57894912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86711625).

57894912 is an abundant number, since it is smaller than the sum of its proper divisors (115528338).

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

57894912 is an equidigital number, since it uses as much as digits as its factorization.

57894912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 354 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 57894912 is about 7608.8706126468. The cubic root of 57894912 is about 386.8537395742.

It can be divided in two parts, 5789 and 4912, that added together give a palindrome (10701).

The spelling of 57894912 in words is "fifty-seven million, eight hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 349 384 432 512 576 648 698 768 864 1024 1047 1152 1296 1396 1536 1728 2048 2094 2304 2592 2792 3072 3141 3456 4188 4608 5184 5584 6144 6282 6912 8376 9216 9423 10368 11168 12564 13824 16752 18432 18846 20736 22336 25128 27648 28269 33504 37692 41472 44672 50256 55296 56538 67008 75384 82944 89344 100512 113076 134016 150768 165888 178688 201024 226152 268032 301536 357376 402048 452304 536064 603072 714752 804096 904608 1072128 1206144 1608192 1809216 2144256 2412288 3216384 3618432 4824576 6432768 7236864 9649152 14473728 19298304 28947456 57894912