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27379712 = 21129461
BaseRepresentation
bin110100001110…
…0100000000000
31220112000220102
41220130200000
524002122322
62414501532
7451503143
oct150344000
956460812
1027379712
1114500868
1292048a8
135898419
1438ca05a
15260c792
hex1a1c800

27379712 has 48 divisors (see below), whose sum is σ = 56756700. Its totient is φ = 13189120.

The previous prime is 27379699. The next prime is 27379733. The reversal of 27379712 is 21797372.

It can be written as a sum of positive squares in 2 ways, for example, as 27206656 + 173056 = 5216^2 + 416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59162 + ... + 59622.

Almost surely, 227379712 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 27379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28378350).

27379712 is an abundant number, since it is smaller than the sum of its proper divisors (29376988).

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

27379712 is an equidigital number, since it uses as much as digits as its factorization.

27379712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 492 counting only the distinct ones).

The product of its digits is 37044, while the sum is 38.

The square root of 27379712 is about 5232.5626608766. The cubic root of 27379712 is about 301.3997991235.

The spelling of 27379712 in words is "twenty-seven million, three hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 461 464 512 922 928 1024 1844 1856 2048 3688 3712 7376 7424 13369 14752 14848 26738 29504 29696 53476 59008 59392 106952 118016 213904 236032 427808 472064 855616 944128 1711232 3422464 6844928 13689856 27379712