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84500288 = 2610912113
BaseRepresentation
bin1010000100101…
…01111101000000
312220000001121022
411002111331000
5133113002123
612215045012
72044145345
oct502257500
9186001538
1084500288
1143775354
1224370768
1314677892
14b3187cc
1576421c8
hex5095f40

84500288 has 28 divisors (see below), whose sum is σ = 169232580. Its totient is φ = 41859072.

The previous prime is 84500281. The next prime is 84500291. The reversal of 84500288 is 88200548.

It can be written as a sum of positive squares in 2 ways, for example, as 42406144 + 42094144 = 6512^2 + 6488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84500281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 920 + ... + 13032.

Almost surely, 284500288 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 84500288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84616290).

84500288 is an abundant number, since it is smaller than the sum of its proper divisors (84732292).

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

84500288 is a wasteful number, since it uses less digits than its factorization.

84500288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12224 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 84500288 is about 9192.4038205466. The cubic root of 84500288 is about 438.8196463060.

The spelling of 84500288 in words is "eighty-four million, five hundred thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 6976 12113 24226 48452 96904 193808 387616 775232 1320317 2640634 5281268 10562536 21125072 42250144 84500288