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27882 = 2321549
BaseRepresentation
bin110110011101010
31102020200
412303222
51343012
6333030
7144201
oct66352
942220
1027882
1119a48
1214176
13c8ca
14a238
1583dc
hex6cea

27882 has 12 divisors (see below), whose sum is σ = 60450. Its totient is φ = 9288.

The previous prime is 27851. The next prime is 27883. The reversal of 27882 is 28872.

Subtracting 27882 from its reverse (28872), we obtain a triangular number (990 = T44).

It can be divided in two parts, 27 and 882, that added together give a palindrome (909).

It can be written as a sum of positive squares in only one way, i.e., 25281 + 2601 = 159^2 + 51^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (27883) by changing a digit.

27882 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 757 + ... + 792.

227882 is an apocalyptic number.

27882 is an abundant number, since it is smaller than the sum of its proper divisors (32568).

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

27882 is a wasteful number, since it uses less digits than its factorization.

27882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1554 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 27882 is about 166.9790406009. The cubic root of 27882 is about 30.3231728103.

The spelling of 27882 in words is "twenty-seven thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 1549 3098 4647 9294 13941 27882