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5088 = 25353
BaseRepresentation
bin1001111100000
320222110
41033200
5130323
635320
720556
oct11740
96873
105088
113906
122b40
132415
141bd6
151793
hex13e0

5088 has 24 divisors (see below), whose sum is σ = 13608. Its totient is φ = 1664.

The previous prime is 5087. The next prime is 5099. The reversal of 5088 is 8805.

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

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5081) 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, 70 + ... + 122.

It is an arithmetic number, because the mean of its divisors is an integer number (567).

25088 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 5088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804).

5088 is an abundant number, since it is smaller than the sum of its proper divisors (8520).

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

5088 is a wasteful number, since it uses less digits than its factorization.

5088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 5088 is about 71.3302180005. The cubic root of 5088 is about 17.1994952078.

The spelling of 5088 in words is "five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088