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81882 = 2324549
BaseRepresentation
bin10011111111011010
311011022200
4103333122
510110012
61431030
7460503
oct237732
9134280
1081882
1156579
123b476
132b368
1421baa
15193dc
hex13fda

81882 has 12 divisors (see below), whose sum is σ = 177450. Its totient is φ = 27288.

The previous prime is 81869. The next prime is 81883. The reversal of 81882 is 28818.

81882 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 62001 + 19881 = 249^2 + 141^2 .

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

It is not an unprimeable number, because it can be changed into a prime (81883) by changing a digit.

81882 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, 2257 + ... + 2292.

281882 is an apocalyptic number.

81882 is an abundant number, since it is smaller than the sum of its proper divisors (95568).

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

81882 is a wasteful number, since it uses less digits than its factorization.

81882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557 (or 4554 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 81882 is about 286.1503101519. The cubic root of 81882 is about 43.4239654708.

It can be divided in two parts, 818 and 82, that multiplied together give a palindrome (67076).

The spelling of 81882 in words is "eighty-one thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 4549 9098 13647 27294 40941 81882