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89192268 = 2232111713249
BaseRepresentation
bin1010101000011…
…11011101001100
320012211102210100
411110033131030
5140313123033
612503411100
72132056524
oct524173514
9205742710
1089192268
114638a520
1225a53a90
131562b3b9
14bbba684
157c6c513
hex550f74c

89192268 has 72 divisors (see below), whose sum is σ = 260442000. Its totient is φ = 25436160.

The previous prime is 89192263. The next prime is 89192273. The reversal of 89192268 is 86229198.

It is an interprime number because it is at equal distance from previous prime (89192263) and next prime (89192273).

It is not an unprimeable number, because it can be changed into a prime (89192263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108 + ... + 13356.

It is an arithmetic number, because the mean of its divisors is an integer number (3617250).

Almost surely, 289192268 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 89192268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130221000).

89192268 is an abundant number, since it is smaller than the sum of its proper divisors (171249732).

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

89192268 is a wasteful number, since it uses less digits than its factorization.

89192268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13287 (or 13282 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 89192268 is about 9444.1658181123. The cubic root of 89192268 is about 446.7957867843.

The spelling of 89192268 in words is "eighty-nine million, one hundred ninety-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 13249 26498 39747 52996 79494 119241 145739 158988 225233 238482 291478 437217 450466 476964 582956 675699 874434 900932 1311651 1351398 1748868 2027097 2477563 2623302 2702796 4054194 4955126 5246604 7432689 8108388 9910252 14865378 22298067 29730756 44596134 89192268