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85089312 = 25337111279
BaseRepresentation
bin1010001001001…
…01110000100000
312221002222121000
411010211300200
5133240324222
612235432000
72052150540
oct504456040
9187088530
1085089312
1144037950
12245b5600
1314822a09
14b42d320
15770b9ac
hex5125c20

85089312 has 192 divisors, whose sum is σ = 309657600. Its totient is φ = 22083840.

The previous prime is 85089299. The next prime is 85089331. The reversal of 85089312 is 21398058.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65889 + ... + 67167.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 285089312 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 85089312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

85089312 is an abundant number, since it is smaller than the sum of its proper divisors (224568288).

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

85089312 is a wasteful number, since it uses less digits than its factorization.

85089312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85089312 is about 9224.3868088887. The cubic root of 85089312 is about 439.8369092531.

The spelling of 85089312 in words is "eighty-five million, eighty-nine thousand, three hundred twelve".