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85444432 = 243125557
BaseRepresentation
bin1010001011111…
…00011101010000
312221210000201121
411011330131100
5133333210212
612251212024
72055160063
oct505743520
9187700647
1085444432
114425a737
1224747014
1314918548
14b4c28da
15777bd07
hex517c750

85444432 has 30 divisors (see below), whose sum is σ = 171091914. Its totient is φ = 41336640.

The previous prime is 85444421. The next prime is 85444441. The reversal of 85444432 is 23444458.

It can be written as a sum of positive squares in only one way, i.e., 84198976 + 1245456 = 9176^2 + 1116^2 .

It is a nialpdrome in base 10.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 12598 + ... + 18154.

Almost surely, 285444432 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 85444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85545957).

85444432 is an abundant number, since it is smaller than the sum of its proper divisors (85647482).

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

85444432 is a wasteful number, since it uses less digits than its factorization.

85444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5590 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

The square root of 85444432 is about 9243.6157427708. The cubic root of 85444432 is about 440.4479460136.

The spelling of 85444432 in words is "eighty-five million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 5557 7688 11114 15376 22228 44456 88912 172267 344534 689068 1378136 2756272 5340277 10680554 21361108 42722216 85444432