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89888 = 25532
BaseRepresentation
bin10101111100100000
311120022012
4111330200
510334023
61532052
7523031
oct257440
9146265
1089888
1161597
1244028
1331bb6
1424a88
151b978
hex15f20

89888 has 18 divisors (see below), whose sum is σ = 180369. Its totient is φ = 44096.

The previous prime is 89867. The next prime is 89891. The reversal of 89888 is 88898.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 85264 + 4624 = 292^2 + 68^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=212.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1670 + ... + 1722.

289888 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 89888

89888 is an abundant number, since it is smaller than the sum of its proper divisors (90481).

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

89888 is an equidigital number, since it uses as much as digits as its factorization.

89888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 55 counting only the distinct ones).

The product of its digits is 36864, while the sum is 41.

The square root of 89888 is about 299.8132752231. The cubic root of 89888 is about 44.7954502182.

Subtracting from 89888 its reverse (88898), we obtain a triangular number (990 = T44).

The spelling of 89888 in words is "eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2809 5618 11236 22472 44944 89888