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989892728 = 2311172922817
BaseRepresentation
bin111011000000001…
…001000001111000
32112222122202112122
4323000021001320
54011403031403
6242120500412
733346643426
oct7300110170
92488582478
10989892728
11468850070
1223761a708
1312a10b856
149567a116
155bd86838
hex3b009078

989892728 has 64 divisors (see below), whose sum is σ = 2217909600. Its totient is φ = 408862720.

The previous prime is 989892719. The next prime is 989892749. The reversal of 989892728 is 827298989.

It is a super-2 number, since 2×9898927282 = 1959775225894563968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31976 + ... + 54792.

Almost surely, 2989892728 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 989892728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108954800).

989892728 is an abundant number, since it is smaller than the sum of its proper divisors (1228016872).

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

989892728 is a wasteful number, since it uses less digits than its factorization.

989892728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22880 (or 22876 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 62.

The square root of 989892728 is about 31462.5607349434. The cubic root of 989892728 is about 996.6194943924.

The spelling of 989892728 in words is "nine hundred eighty-nine million, eight hundred ninety-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 493 638 748 986 1276 1496 1972 2552 3944 5423 10846 21692 22817 43384 45634 91268 182536 250987 387889 501974 661693 775778 1003948 1323386 1551556 2007896 2646772 3103112 4266779 5293544 7278623 8533558 11248781 14557246 17067116 22497562 29114492 34134232 44995124 58228984 89990248 123736591 247473182 494946364 989892728