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5888 = 2823
BaseRepresentation
bin1011100000000
322002002
41130000
5142023
643132
723111
oct13400
98062
105888
114473
1234a8
1328ac
142208
151b28
hex1700

5888 has 18 divisors (see below), whose sum is σ = 12264. Its totient is φ = 2816.

The previous prime is 5881. The next prime is 5897. The reversal of 5888 is 8885.

Adding to 5888 its product of digits (2560), we get a palindrome (8448).

It is a plaindrome in base 10 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 5888.

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 5888.

It is not an unprimeable number, because it can be changed into a prime (5881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 245 + ... + 267.

25888 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 5888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132).

5888 is an abundant number, since it is smaller than the sum of its proper divisors (6376).

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

5888 is an equidigital number, since it uses as much as digits as its factorization.

5888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 25 counting only the distinct ones).

The product of its digits is 2560, while the sum is 29.

The square root of 5888 is about 76.7333043730. The cubic root of 5888 is about 18.0574297419.

The spelling of 5888 in words is "five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 5888