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88488 = 23321229
BaseRepresentation
bin10101100110101000
311111101100
4111212220
510312423
61521400
7515661
oct254650
9144340
1088488
1160534
1243260
133137a
1424368
151b343
hex159a8

88488 has 24 divisors (see below), whose sum is σ = 239850. Its totient is φ = 29472.

The previous prime is 88471. The next prime is 88493.

88488 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 39204 = 222^2 + 198^2 .

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

It is a super-2 number, since 2×884882 = 15660252288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

88488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 543 + ... + 686.

288488 is an apocalyptic number.

It is an amenable number.

88488 is an abundant number, since it is smaller than the sum of its proper divisors (151362).

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

88488 is a wasteful number, since it uses less digits than its factorization.

88488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1234 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 88488 is about 297.4693261498. The cubic root of 88488 is about 44.5616701657.

It can be divided in two parts, 88 and 488, that added together give a square (576 = 242).

The spelling of 88488 in words is "eighty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1229 2458 3687 4916 7374 9832 11061 14748 22122 29496 44244 88488