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89348 = 2273191
BaseRepresentation
bin10101110100000100
311112120012
4111310010
510324343
61525352
7521330
oct256404
9145505
1089348
1161146
1243858
133188c
14247c0
151b718
hex15d04

89348 has 12 divisors (see below), whose sum is σ = 178752. Its totient is φ = 38280.

The previous prime is 89329. The next prime is 89363. The reversal of 89348 is 84398.

89348 is an admirable number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1568 + ... + 1623.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

289348 is an apocalyptic number.

It is an amenable number.

89348 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376).

89348 is a wasteful number, since it uses less digits than its factorization.

89348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3200 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 89348 is about 298.9113580980. The cubic root of 89348 is about 44.7055674575.

Subtracting from 89348 its reverse (84398), we obtain a triangular number (4950 = T99).

The spelling of 89348 in words is "eighty-nine thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 3191 6382 12764 22337 44674 89348