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89235664 = 2472432647
BaseRepresentation
bin1010101000110…
…10000011010000
320012220122022121
411110122003100
5140321020124
612504344024
72132330200
oct524320320
9205818277
1089235664
114640a091
1225a75014
131564508b
14bbcc400
157c7a2e4
hex551a0d0

89235664 has 60 divisors (see below), whose sum is σ = 205876704. Its totient is φ = 37340352.

The previous prime is 89235613. The next prime is 89235667. The reversal of 89235664 is 46653298.

89235664 = T125 + T126 + ... + T812.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 89235664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89235667) 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, 32389 + ... + 35035.

Almost surely, 289235664 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 89235664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102938352).

89235664 is an abundant number, since it is smaller than the sum of its proper divisors (116641040).

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

89235664 is a wasteful number, since it uses less digits than its factorization.

89235664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2699 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 89235664 is about 9446.4630417951. The cubic root of 89235664 is about 446.8682370339.

The spelling of 89235664 in words is "eighty-nine million, two hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 344 392 602 688 784 1204 2107 2408 2647 4214 4816 5294 8428 10588 16856 18529 21176 33712 37058 42352 74116 113821 129703 148232 227642 259406 296464 455284 518812 796747 910568 1037624 1593494 1821136 2075248 3186988 5577229 6373976 11154458 12747952 22308916 44617832 89235664