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8982 = 232499
BaseRepresentation
bin10001100010110
3110022200
42030112
5241412
6105330
735121
oct21426
913280
108982
116826
125246
13411c
1433b8
1529dc
hex2316

8982 has 12 divisors (see below), whose sum is σ = 19500. Its totient is φ = 2988.

The previous prime is 8971. The next prime is 8999. The reversal of 8982 is 2898.

Adding to 8982 its sum of digits (27), we get a palindrome (9009).

Subtracting from 8982 its reverse (2898), we obtain a square (6084 = 782).

It can be divided in two parts, 898 and 2, that added together give a square (900 = 302).

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 a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8982.

It is an unprimeable number.

8982 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, 232 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (1625).

28982 is an apocalyptic number.

8982 is an abundant number, since it is smaller than the sum of its proper divisors (10518).

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

8982 is a wasteful number, since it uses less digits than its factorization.

8982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 504 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 8982 is about 94.7734139936. The cubic root of 8982 is about 20.7869617499.

The spelling of 8982 in words is "eight thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 499 998 1497 2994 4491 8982