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8904 = 233753
BaseRepresentation
bin10001011001000
3110012210
42023020
5241104
6105120
734650
oct21310
913183
108904
116765
1251a0
13408c
143360
152989
hex22c8

8904 has 32 divisors (see below), whose sum is σ = 25920. Its totient is φ = 2496.

The previous prime is 8893. The next prime is 8923. The reversal of 8904 is 4098.

8904 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

8904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

28904 is an apocalyptic number.

8904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960).

8904 is an abundant number, since it is smaller than the sum of its proper divisors (17016).

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

8904 is a wasteful number, since it uses less digits than its factorization.

8904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8904 is about 94.3610088967. The cubic root of 8904 is about 20.7266151614.

8904 divided by its sum of digits (21) gives a palindrome (424).

The spelling of 8904 in words is "eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904