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985489056 = 253210931393
BaseRepresentation
bin111010101111010…
…101111010100000
32112200101000211200
4322233111322200
54004241122211
6241442241200
733264342636
oct7257257240
92480330750
10985489056
11466312572
12236056200
13129229326
1494c51356
155b7b6b56
hex3abd5ea0

985489056 has 72 divisors (see below), whose sum is σ = 2828285460. Its totient is φ = 325472256.

The previous prime is 985489033. The next prime is 985489067. The reversal of 985489056 is 650984589.

It is a happy number.

985489056 is a `hidden beast` number, since 9 + 8 + 548 + 90 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 799984656 + 185504400 = 28284^2 + 13620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×9854890562 = 1942377358991542272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 985488993 and 985489011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15696 + ... + 47088.

Almost surely, 2985489056 is an apocalyptic number.

985489056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is a pronic number, being equal to 31392×31393.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985489056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414142730).

985489056 is an abundant number, since it is smaller than the sum of its proper divisors (1842796404).

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

985489056 is a wasteful number, since it uses less digits than its factorization.

985489056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31518 (or 31507 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 985489056 is about 31392.4999960182. The cubic root of 985489056 is about 995.1394318208.

The spelling of 985489056 in words is "nine hundred eighty-five million, four hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 31393 62786 94179 125572 188358 251144 282537 376716 502288 565074 753432 1004576 1130148 1506864 2260296 3013728 3421837 4520592 6843674 9041184 10265511 13687348 20531022 27374696 30796533 41062044 54749392 61593066 82124088 109498784 123186132 164248176 246372264 328496352 492744528 985489056