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9888 = 253103
BaseRepresentation
bin10011010100000
3111120020
42122200
5304023
6113440
740554
oct23240
914506
109888
11747a
125880
134668
143864
152de3
hex26a0

9888 has 24 divisors (see below), whose sum is σ = 26208. Its totient is φ = 3264.

The previous prime is 9887. The next prime is 9901. The reversal of 9888 is 8889.

It is a tau number, because it is divible by the number of its divisors (24).

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9883) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 45 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

29888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104).

9888 is an abundant number, since it is smaller than the sum of its proper divisors (16320).

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

9888 is a wasteful number, since it uses less digits than its factorization.

9888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 9888 is about 99.4384231572. The cubic root of 9888 is about 21.4636125091.

Subtracting from 9888 its reverse (8889), we obtain a palindrome (999).

The spelling of 9888 in words is "nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888