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985326912 = 263210116937
BaseRepresentation
bin111010101110101…
…110010101000000
32112200001210102100
4322232232111000
54004220430122
6241434550400
733263066133
oct7256562500
92480053370
10985326912
11466211769
12235b98400
131291a059b
1494c0c21a
155b783aac
hex3abae540

985326912 has 84 divisors (see below), whose sum is σ = 2852393076. Its totient is φ = 325171200.

The previous prime is 985326907. The next prime is 985326913. The reversal of 985326912 is 219623589.

985326912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 698227776 + 287099136 = 26424^2 + 16944^2 .

It is a super-2 number, since 2×9853269122 = 1941738247022911488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985326913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49708 + ... + 66644.

Almost surely, 2985326912 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 985326912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426196538).

985326912 is an abundant number, since it is smaller than the sum of its proper divisors (1867066164).

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

985326912 is a wasteful number, since it uses less digits than its factorization.

985326912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17056 (or 17043 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 985326912 is about 31389.9173621085. The cubic root of 985326912 is about 995.0848515637.

The spelling of 985326912 in words is "nine hundred eighty-five million, three hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 192 202 288 303 404 576 606 808 909 1212 1616 1818 2424 3232 3636 4848 6464 7272 9696 14544 16937 19392 29088 33874 50811 58176 67748 101622 135496 152433 203244 270992 304866 406488 541984 609732 812976 1083968 1219464 1625952 1710637 2438928 3251904 3421274 4877856 5131911 6842548 9755712 10263822 13685096 15395733 20527644 27370192 30791466 41055288 54740384 61582932 82110576 109480768 123165864 164221152 246331728 328442304 492663456 985326912