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88842 = 23131767
BaseRepresentation
bin10101101100001010
311111212110
4111230022
510320332
61523150
7520005
oct255412
9144773
1088842
1160826
12434b6
1331590
142453c
151b4cc
hex15b0a

88842 has 32 divisors (see below), whose sum is σ = 205632. Its totient is φ = 25344.

The previous prime is 88819. The next prime is 88843. The reversal of 88842 is 24888.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (6426).

288842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816).

88842 is an abundant number, since it is smaller than the sum of its proper divisors (116790).

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

88842 is a wasteful number, since it uses less digits than its factorization.

88842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its digits is 4096, while the sum is 30.

The square root of 88842 is about 298.0637515700. The cubic root of 88842 is about 44.6210147168.

The spelling of 88842 in words is "eighty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 67 78 102 134 201 221 402 442 663 871 1139 1326 1742 2278 2613 3417 5226 6834 14807 29614 44421 88842