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985275000 = 23325529151
BaseRepresentation
bin111010101110100…
…001101001111000
32112122222011012200
4322232201221320
54004212300000
6241433510200
733262461603
oct7256415170
92478864180
10985275000
11466186766
12235b72360
13129182a78
1494bd733a
155b773500
hex3aba1a78

985275000 has 288 divisors, whose sum is σ = 3473215200. Its totient is φ = 252000000.

The previous prime is 985274981. The next prime is 985275041. The reversal of 985275000 is 572589.

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 71 ways as a sum of consecutive naturals, for example, 6524925 + ... + 6525075.

It is an arithmetic number, because the mean of its divisors is an integer number (12059775).

Almost surely, 2985275000 is an apocalyptic number.

985275000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736607600).

985275000 is an abundant number, since it is smaller than the sum of its proper divisors (2487940200).

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

985275000 is a wasteful number, since it uses less digits than its factorization.

985275000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 985275000 is about 31389.0904614963. The cubic root of 985275000 is about 995.0673758909.

The spelling of 985275000 in words is "nine hundred eighty-five million, two hundred seventy-five thousand".