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27399312 = 24321491277
BaseRepresentation
bin110100010000…
…1010010010000
31220120000210100
41220201102100
524003234222
62415132400
7451614243
oct150412220
956500710
1027399312
1114514566
129214100
1358a4315
1438d325a
1526134ac
hex1a21490

27399312 has 60 divisors (see below), whose sum is σ = 77255100. Its totient is φ = 9064704.

The previous prime is 27399301. The next prime is 27399329. The reversal of 27399312 is 21399372.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 17438976 = 3156^2 + 4176^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20818 + ... + 22094.

It is an arithmetic number, because the mean of its divisors is an integer number (1287585).

Almost surely, 227399312 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 27399312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38627550).

27399312 is an abundant number, since it is smaller than the sum of its proper divisors (49855788).

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

27399312 is a wasteful number, since it uses less digits than its factorization.

27399312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1431 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 27399312 is about 5234.4352130865. The cubic root of 27399312 is about 301.4717018398.

The spelling of 27399312 in words is "twenty-seven million, three hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1277 1341 1788 2384 2554 2682 3576 3831 5108 5364 7152 7662 10216 10728 11493 15324 20432 21456 22986 30648 45972 61296 91944 183888 190273 380546 570819 761092 1141638 1522184 1712457 2283276 3044368 3424914 4566552 6849828 9133104 13699656 27399312