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89075268 = 22331983523
BaseRepresentation
bin1010100111100…
…10111001000100
320012121111022000
411103302321010
5140300402033
612501105300
72131061442
oct523627104
9205544260
1089075268
114630a627
12259b8230
13155ba079
14bb89b92
157c47a13
hex54f2e44

89075268 has 96 divisors (see below), whose sum is σ = 246489600. Its totient is φ = 27736992.

The previous prime is 89075213. The next prime is 89075279. The reversal of 89075268 is 86257098.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170055 + ... + 170577.

It is an arithmetic number, because the mean of its divisors is an integer number (2567600).

Almost surely, 289075268 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 89075268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123244800).

89075268 is an abundant number, since it is smaller than the sum of its proper divisors (157414332).

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

89075268 is a wasteful number, since it uses less digits than its factorization.

89075268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 89075268 is about 9437.9694850111. The cubic root of 89075268 is about 446.6003364290.

The spelling of 89075268 in words is "eighty-nine million, seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 83 108 114 166 171 228 249 332 342 498 513 523 684 747 996 1026 1046 1494 1569 1577 2052 2092 2241 2988 3138 3154 4482 4707 4731 6276 6308 8964 9414 9462 9937 14121 14193 18828 18924 19874 28242 28386 29811 39748 42579 43409 56484 56772 59622 85158 86818 89433 119244 130227 170316 173636 178866 260454 268299 357732 390681 520908 536598 781362 824771 1073196 1172043 1562724 1649542 2344086 2474313 3299084 4688172 4948626 7422939 9897252 14845878 22268817 29691756 44537634 89075268