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985851144 = 233223335869
BaseRepresentation
bin111010110000101…
…110010100001000
32112201001102112100
4322300232110020
54004334214034
6241454113400
733300411405
oct7260562410
92481042470
10985851144
1146653a613
122361ab860
13129325095
1494d072ac
155b839099
hex3ac2e508

985851144 has 48 divisors (see below), whose sum is σ = 2671613100. Its totient is φ = 328420224.

The previous prime is 985851133. The next prime is 985851149. The reversal of 985851144 is 441158589.

It is a happy number.

985851144 is a `hidden beast` number, since 98 + 5 + 8 + 511 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 891022500 + 94828644 = 29850^2 + 9738^2 .

It is a super-2 number, since 2×9858511442 = 1943804956252217472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 985851144.

It is not an unprimeable number, because it can be changed into a prime (985851149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165042 + ... + 170910.

Almost surely, 2985851144 is an apocalyptic number.

It is an amenable number.

985851144 is an abundant number, since it is smaller than the sum of its proper divisors (1685761956).

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

985851144 is a wasteful number, since it uses less digits than its factorization.

985851144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214 (or 8207 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 985851144 is about 31398.2665763574. The cubic root of 985851144 is about 995.2612948095.

The spelling of 985851144 in words is "nine hundred eighty-five million, eight hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2333 4666 5869 6999 9332 11738 13998 17607 18664 20997 23476 27996 35214 41994 46952 52821 55992 70428 83988 105642 140856 167976 211284 422568 13692377 27384754 41077131 54769508 82154262 109539016 123231393 164308524 246462786 328617048 492925572 985851144