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89388 = 223213191
BaseRepresentation
bin10101110100101100
311112121200
4111310230
510330023
61525500
7521415
oct256454
9145550
1089388
1161182
1243890
13318c0
142480c
151b743
hex15d2c

89388 has 36 divisors (see below), whose sum is σ = 244608. Its totient is φ = 27360.

The previous prime is 89387. The next prime is 89393. The reversal of 89388 is 88398.

Subtracting from 89388 its reverse (88398), we obtain a triangular number (990 = T44).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (89381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373 + ... + 563.

289388 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 89388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122304).

89388 is an abundant number, since it is smaller than the sum of its proper divisors (155220).

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

89388 is a wasteful number, since it uses less digits than its factorization.

89388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

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

The square root of 89388 is about 298.9782600792. The cubic root of 89388 is about 44.7122378396.

The spelling of 89388 in words is "eighty-nine thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 191 234 382 468 573 764 1146 1719 2292 2483 3438 4966 6876 7449 9932 14898 22347 29796 44694 89388