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27008 = 27211

27008 has 16 divisors (see below), whose sum is σ = 54060. Its totient is φ = 13440.

The previous prime is 26993. The next prime is 27011. The reversal of 27008 is 80072.

27008 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23 + ... + 233.

227008 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 27008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27030).

27008 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

27008 is an equidigital number, since it uses as much as digits as its factorization.

27008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 27008 is about 164.3411086734. The cubic root of 27008 is about 30.0029626704.

Subtracting from 27008 its product of nonzero digits (112), we obtain a square (26896 = 1642).

The spelling of 27008 in words is "twenty-seven thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 211 422 844 1688 3376 6752 13504 27008