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27386112 = 283132211
BaseRepresentation
bin110100001111…
…0000100000000
31220112100200110
41220132010000
524002323422
62414551320
7451530615
oct150360400
956470613
1027386112
1114505656
129208540
13589b300
1438cc50c
15260e60c
hex1a1e100

27386112 has 108 divisors (see below), whose sum is σ = 79299024. Its totient is φ = 8386560.

The previous prime is 27386111. The next prime is 27386129. The reversal of 27386112 is 21168372.

It is a self number, because there is not a number n which added to its sum of digits gives 27386112.

It is not an unprimeable number, because it can be changed into a prime (27386111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129687 + ... + 129897.

Almost surely, 227386112 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 27386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39649512).

27386112 is an abundant number, since it is smaller than the sum of its proper divisors (51912912).

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

27386112 is a wasteful number, since it uses less digits than its factorization.

27386112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 27386112 is about 5233.1741801702. The cubic root of 27386112 is about 301.4232813335.

The spelling of 27386112 in words is "twenty-seven million, three hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 211 256 312 338 384 416 422 507 624 633 676 768 832 844 1014 1248 1266 1352 1664 1688 2028 2496 2532 2704 2743 3328 3376 4056 4992 5064 5408 5486 6752 8112 8229 9984 10128 10816 10972 13504 16224 16458 20256 21632 21944 27008 32448 32916 35659 40512 43264 43888 54016 64896 65832 71318 81024 87776 106977 129792 131664 142636 162048 175552 213954 263328 285272 351104 427908 526656 570544 702208 855816 1053312 1141088 1711632 2106624 2282176 3423264 4564352 6846528 9128704 13693056 27386112