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85014608 = 24742213
BaseRepresentation
bin1010001000100…
…11100001010000
312220222012010012
411010103201100
5133230431413
612234054052
72051420000
oct504234120
9186865105
1085014608
1143a96808
122457a328
13147c7a03
14b410000
1576e47a8
hex5113850

85014608 has 50 divisors (see below), whose sum is σ = 192243834. Its totient is φ = 36418368.

The previous prime is 85014593. The next prime is 85014613. The reversal of 85014608 is 80641058.

It can be written as a sum of positive squares in only one way, i.e., 84860944 + 153664 = 9212^2 + 392^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37310 + ... + 39522.

Almost surely, 285014608 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 85014608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96121917).

85014608 is an abundant number, since it is smaller than the sum of its proper divisors (107229226).

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

85014608 is an equidigital number, since it uses as much as digits as its factorization.

85014608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85014608 is about 9220.3366532898. The cubic root of 85014608 is about 439.7081535722.

The spelling of 85014608 in words is "eighty-five million, fourteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2213 2401 2744 4426 4802 5488 8852 9604 15491 17704 19208 30982 35408 38416 61964 108437 123928 216874 247856 433748 759059 867496 1518118 1734992 3036236 5313413 6072472 10626826 12144944 21253652 42507304 85014608