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89189352 = 23327271653
BaseRepresentation
bin1010101000011…
…10101111101000
320012211021210100
411110032233220
5140313024402
612503345400
72132045160
oct524165750
9205737710
1089189352
114638830a
1225a52260
1315629c85
14bbb95a0
157c6b71c
hex550ebe8

89189352 has 96 divisors (see below), whose sum is σ = 277505280. Its totient is φ = 25349760.

The previous prime is 89189323. The next prime is 89189369. The reversal of 89189352 is 25398198.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 89189298 and 89189307.

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, 136258 + ... + 136910.

It is an arithmetic number, because the mean of its divisors is an integer number (2890680).

Almost surely, 289189352 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 89189352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138752640).

89189352 is an abundant number, since it is smaller than the sum of its proper divisors (188315928).

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

89189352 is a wasteful number, since it uses less digits than its factorization.

89189352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 936 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 89189352 is about 9444.0114358254. The cubic root of 89189352 is about 446.7909176376.

The spelling of 89189352 in words is "eighty-nine million, one hundred eighty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 271 504 542 653 813 1084 1306 1626 1897 1959 2168 2439 2612 3252 3794 3918 4571 4878 5224 5691 5877 6504 7588 7836 9142 9756 11382 11754 13713 15176 15672 17073 18284 19512 22764 23508 27426 34146 36568 41139 45528 47016 54852 68292 82278 109704 136584 164556 176963 329112 353926 530889 707852 1061778 1238741 1415704 1592667 2123556 2477482 3185334 3716223 4247112 4954964 6370668 7432446 9909928 11148669 12741336 14864892 22297338 29729784 44594676 89189352