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8888 = 2311101
BaseRepresentation
bin10001010111000
3110012012
42022320
5241023
6105052
734625
oct21270
913165
108888
116750
125188
134079
14334c
152978
hex22b8

8888 has 16 divisors (see below), whose sum is σ = 18360. Its totient is φ = 4000.

The previous prime is 8887. The next prime is 8893.

8888 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

8888 is a strobogrammatic number because it is the same when read upside-down.

8888 is a modest number, since divided by 888 gives 8 as remainder.

8888 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10 and base 14.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 138.

8888 is a gapful number since it is divisible by the number (88) 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 8888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180).

8888 is an abundant number, since it is smaller than the sum of its proper divisors (9472).

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

8888 is a wasteful number, since it uses less digits than its factorization.

8888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its digits is 4096, while the sum is 32.

The square root of 8888 is about 94.2761899951. The cubic root of 8888 is about 20.7141928539.

The spelling of 8888 in words is "eight thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888