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85489344 = 263523239
BaseRepresentation
bin1010001100001…
…11011011000000
312221212022100000
411012013123000
5133341124334
612252200000
72055435033
oct506073300
9187768300
1085489344
1144290456
1224769000
1314932b15
14b4d501a
15778a299
hex51876c0

85489344 has 168 divisors, whose sum is σ = 266273280. Its totient is φ = 27143424.

The previous prime is 85489333. The next prime is 85489373. The reversal of 85489344 is 44398458.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85489344.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 357577 + ... + 357815.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 285489344 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 85489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

85489344 is an abundant number, since it is smaller than the sum of its proper divisors (180783936).

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

85489344 is a wasteful number, since it uses less digits than its factorization.

85489344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 85489344 is about 9246.0447760110. The cubic root of 85489344 is about 440.5251031117.

The spelling of 85489344 in words is "eighty-five million, four hundred eighty-nine thousand, three hundred forty-four".