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93888 = 2632163
BaseRepresentation
bin10110111011000000
311202210100
4112323000
511001023
62002400
7540504
oct267300
9152710
1093888
11645a3
1246400
1333972
1426304
151cc43
hex16ec0

93888 has 42 divisors (see below), whose sum is σ = 270764. Its totient is φ = 31104.

The previous prime is 93887. The next prime is 93889. The reversal of 93888 is 88839.

It is an interprime number because it is at equal distance from previous prime (93887) and next prime (93889).

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 inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93888.

It is not an unprimeable number, because it can be changed into a prime (93887) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 495 + ... + 657.

293888 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 93888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135382).

93888 is an abundant number, since it is smaller than the sum of its proper divisors (176876).

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

93888 is a wasteful number, since it uses less digits than its factorization.

93888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 93888 is about 306.4114880353. The cubic root of 93888 is about 45.4502939054.

The spelling of 93888 in words is "ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 163 192 288 326 489 576 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 10432 11736 15648 23472 31296 46944 93888