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27942 = 234657
BaseRepresentation
bin110110100100110
31102022220
412310212
51343232
6333210
7144315
oct66446
942286
1027942
1119aa2
1214206
13c945
14a27c
15842c
hex6d26

27942 has 8 divisors (see below), whose sum is σ = 55896. Its totient is φ = 9312.

The previous prime is 27941. The next prime is 27943. The reversal of 27942 is 24972.

It is an interprime number because it is at equal distance from previous prime (27941) and next prime (27943).

It is a sphenic number, since it is the product of 3 distinct primes.

27942 is an admirable number.

It is a nialpdrome in base 6.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2323 + ... + 2334.

It is an arithmetic number, because the mean of its divisors is an integer number (6987).

227942 is an apocalyptic number.

27942 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27948).

27942 is a wasteful number, since it uses less digits than its factorization.

27942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662.

The product of its digits is 1008, while the sum is 24.

The square root of 27942 is about 167.1586073165. The cubic root of 27942 is about 30.3449083011.

Adding to 27942 its sum of digits (24), we get a triangular number (27966 = T236).

It can be divided in two parts, 27 and 942, that added together give a palindrome (969).

The spelling of 27942 in words is "twenty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 4657 9314 13971 27942