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90325296 = 24324115299
BaseRepresentation
bin1010110001001…
…00000100110000
320021222000000100
411120210010300
5141110402141
612543552400
72144516025
oct530440460
9207860010
1090325296
1146a93806
12262bb700
1315937029
14bdd354c
157de30b6
hex5624130

90325296 has 60 divisors (see below), whose sum is σ = 258967800. Its totient is φ = 29372160.

The previous prime is 90325273. The next prime is 90325363. The reversal of 90325296 is 69252309.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 90325296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1746 + ... + 13553.

It is an arithmetic number, because the mean of its divisors is an integer number (4316130).

Almost surely, 290325296 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 90325296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129483900).

90325296 is an abundant number, since it is smaller than the sum of its proper divisors (168642504).

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

90325296 is a wasteful number, since it uses less digits than its factorization.

90325296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354 (or 15345 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 90325296 is about 9503.9621211366. The cubic root of 90325296 is about 448.6797451074.

The spelling of 90325296 in words is "ninety million, three hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 15299 30598 45897 61196 91794 122392 137691 183588 244784 275382 367176 550764 627259 734352 1101528 1254518 1881777 2203056 2509036 3763554 5018072 5645331 7527108 10036144 11290662 15054216 22581324 30108432 45162648 90325296