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84888 = 2334131
BaseRepresentation
bin10100101110011000
311022110000
4110232120
510204023
61453000
7502326
oct245630
9138400
1084888
1158861
1241160
132c83b
1422d16
151a243
hex14b98

84888 has 40 divisors (see below), whose sum is σ = 239580. Its totient is φ = 28080.

The previous prime is 84871. The next prime is 84913. The reversal of 84888 is 88848.

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 a congruent number.

It is an unprimeable number.

84888 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 9 ways as a sum of consecutive naturals, for example, 583 + ... + 713.

284888 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 84888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119790).

84888 is an abundant number, since it is smaller than the sum of its proper divisors (154692).

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

84888 is a wasteful number, since it uses less digits than its factorization.

84888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

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

The square root of 84888 is about 291.3554530123. The cubic root of 84888 is about 43.9489766678.

The spelling of 84888 in words is "eighty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 262 324 393 524 648 786 1048 1179 1572 2358 3144 3537 4716 7074 9432 10611 14148 21222 28296 42444 84888