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985631328 = 25361123167
BaseRepresentation
bin111010101111111…
…000101001100000
32112200122021000000
4322233320221200
54004310200303
6241445300000
733265504503
oct7257705140
92480567000
10985631328
114663aa450
12236104600
13129279006
1494c8b13a
155b7e3da3
hex3abf8a60

985631328 has 336 divisors, whose sum is σ = 3331673856. Its totient is φ = 283979520.

The previous prime is 985631303. The next prime is 985631357. The reversal of 985631328 is 823136589.

It is a happy number.

985631328 is a `hidden beast` number, since 9 + 8 + 5 + 631 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×9856313282 = 1942938229470087168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5901901 + ... + 5902067.

It is an arithmetic number, because the mean of its divisors is an integer number (9915696).

Almost surely, 2985631328 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 985631328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665836928).

985631328 is an abundant number, since it is smaller than the sum of its proper divisors (2346042528).

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

985631328 is a wasteful number, since it uses less digits than its factorization.

985631328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 985631328 is about 31394.7659331934. The cubic root of 985631328 is about 995.1873179148.

The spelling of 985631328 in words is "nine hundred eighty-five million, six hundred thirty-one thousand, three hundred twenty-eight".