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88638 = 23111779
BaseRepresentation
bin10101101000111110
311111120220
4111220332
510314023
61522210
7516264
oct255076
9144526
1088638
1160660
1243366
1331464
1424434
151b3e3
hex15a3e

88638 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 24960.

The previous prime is 88609. The next prime is 88643. The reversal of 88638 is 83688.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 88599 and 88608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

288638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

88638 is an abundant number, since it is smaller than the sum of its proper divisors (118722).

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

88638 is a wasteful number, since it uses less digits than its factorization.

88638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its digits is 9216, while the sum is 33.

The square root of 88638 is about 297.7213462283. The cubic root of 88638 is about 44.5868354505.

Subtracting from 88638 its reverse (83688), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 8 and 8638, that added together give a triangular number (8646 = T131).

The spelling of 88638 in words is "eighty-eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 79 102 158 187 237 374 474 561 869 1122 1343 1738 2607 2686 4029 5214 8058 14773 29546 44319 88638