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27392 = 28107
BaseRepresentation
bin110101100000000
31101120112
412230000
51334032
6330452
7142601
oct65400
941515
1027392
1119642
1213a28
13c611
149da8
1581b2
hex6b00

27392 has 18 divisors (see below), whose sum is σ = 55188. Its totient is φ = 13568.

The previous prime is 27367. The next prime is 27397. The reversal of 27392 is 29372.

It is a nialpdrome in base 8 and base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27392.

It is not an unprimeable number, because it can be changed into a prime (27397) by changing a digit.

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, 203 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (3066).

227392 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 27392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27594).

27392 is an abundant number, since it is smaller than the sum of its proper divisors (27796).

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

27392 is an equidigital number, since it uses as much as digits as its factorization.

27392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its digits is 756, while the sum is 23.

The square root of 27392 is about 165.5052869246. The cubic root of 27392 is about 30.1444881736.

The spelling of 27392 in words is "twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 856 1712 3424 6848 13696 27392