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89039106 = 232132913121
BaseRepresentation
bin1010100111010…
…10000100000010
320012112122200200
411103222010002
5140243222411
612500230030
72130551142
oct523520402
9205478620
1089039106
1146295442
122599b316
13155a6780
14bb7a922
157c3be56
hex54ea102

89039106 has 48 divisors (see below), whose sum is σ = 214938360. Its totient is φ = 26449920.

The previous prime is 89039063. The next prime is 89039123. The reversal of 89039106 is 60193098.

It can be written as a sum of positive squares in 4 ways, for example, as 45360225 + 43678881 = 6735^2 + 6609^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226 + ... + 13346.

Almost surely, 289039106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89039106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107469180).

89039106 is an abundant number, since it is smaller than the sum of its proper divisors (125899254).

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

89039106 is a wasteful number, since it uses less digits than its factorization.

89039106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13171 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 89039106 is about 9436.0535182882. The cubic root of 89039106 is about 446.5398926130.

The spelling of 89039106 in words is "eighty-nine million, thirty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 13121 26242 39363 78726 118089 170573 236178 341146 380509 511719 761018 1023438 1141527 1535157 2283054 3070314 3424581 4946617 6849162 9893234 14839851 29679702 44519553 89039106