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85675248 = 24322272621
BaseRepresentation
bin1010001101101…
…00110011110000
312222012202100100
411012310303300
5133413101443
612300152400
72060141031
oct506646360
9188182310
1085675248
11443a809a
1224838700
1314999619
14b542a88
1577c53d3
hex51b4cf0

85675248 has 60 divisors (see below), whose sum is σ = 240919848. Its totient is φ = 28421760.

The previous prime is 85675243. The next prime is 85675267. The reversal of 85675248 is 84257658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85675241) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31378 + ... + 33998.

Almost surely, 285675248 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 85675248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120459924).

85675248 is an abundant number, since it is smaller than the sum of its proper divisors (155244600).

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

85675248 is a wasteful number, since it uses less digits than its factorization.

85675248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2853 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 85675248 is about 9256.0924800912. The cubic root of 85675248 is about 440.8441919544.

The spelling of 85675248 in words is "eighty-five million, six hundred seventy-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 454 681 908 1362 1816 2043 2621 2724 3632 4086 5242 5448 7863 8172 10484 10896 15726 16344 20968 23589 31452 32688 41936 47178 62904 94356 125808 188712 377424 594967 1189934 1784901 2379868 3569802 4759736 5354703 7139604 9519472 10709406 14279208 21418812 28558416 42837624 85675248