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27944 = 237499
BaseRepresentation
bin110110100101000
31102022222
412310220
51343234
6333212
7144320
oct66450
942288
1027944
1119aa4
1214208
13c947
14a280
15842e
hex6d28

27944 has 16 divisors (see below), whose sum is σ = 60000. Its totient is φ = 11952.

The previous prime is 27943. The next prime is 27947. The reversal of 27944 is 44972.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27944.

It is not an unprimeable number, because it can be changed into a prime (27941) by changing a digit.

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, 194 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (3750).

227944 is an apocalyptic number.

It is an amenable number.

27944 is an abundant number, since it is smaller than the sum of its proper divisors (32056).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30000).

27944 is a wasteful number, since it uses less digits than its factorization.

27944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 27944 is about 167.1645895517. The cubic root of 27944 is about 30.3456322813.

It can be divided in two parts, 279 and 44, that added together give a palindrome (323).

The spelling of 27944 in words is "twenty-seven thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 499 998 1996 3493 3992 6986 13972 27944