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27149056 = 281131311
BaseRepresentation
bin110011110010…
…0001100000000
31220002022111121
41213210030000
523422232211
62405522024
7446522524
oct147441400
956068447
1027149056
1114363540
129113314
13581743c
143869d84
1525b4271
hex19e4300

27149056 has 72 divisors (see below), whose sum is σ = 61221888. Its totient is φ = 11904000.

The previous prime is 27149021. The next prime is 27149069. The reversal of 27149056 is 65094172.

It is a super-2 number, since 2×271490562 = 1474142483382272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87141 + ... + 87451.

It is an arithmetic number, because the mean of its divisors is an integer number (850304).

Almost surely, 227149056 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 27149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30610944).

27149056 is an abundant number, since it is smaller than the sum of its proper divisors (34072832).

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

27149056 is a wasteful number, since it uses less digits than its factorization.

27149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 27149056 is about 5210.4756020924. The cubic root of 27149056 is about 300.5510464655.

Subtracting 27149056 from its reverse (65094172), we obtain a triangular number (37945116 = T8711).

The spelling of 27149056 in words is "twenty-seven million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 311 341 352 496 622 682 704 992 1244 1364 1408 1984 2488 2728 2816 3421 3968 4976 5456 6842 7936 9641 9952 10912 13684 19282 19904 21824 27368 38564 39808 43648 54736 77128 79616 87296 106051 109472 154256 212102 218944 308512 424204 437888 617024 848408 875776 1234048 1696816 2468096 3393632 6787264 13574528 27149056