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989412336 = 243211709881
BaseRepresentation
bin111010111110010…
…011101111110000
32112221202100120100
4322332103233300
54011242143321
6242102312400
733342603033
oct7276235760
92487670510
10989412336
11468552150
12237428700
13129ca0cb3
149559301a
155bcde326
hex3af93bf0

989412336 has 120 divisors (see below), whose sum is σ = 3028399920. Its totient is φ = 299059200.

The previous prime is 989412323. The next prime is 989412371. The reversal of 989412336 is 633214989.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 989412291 and 989412300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122616 + ... + 1123496.

It is an arithmetic number, because the mean of its divisors is an integer number (25236666).

Almost surely, 2989412336 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 989412336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514199960).

989412336 is an abundant number, since it is smaller than the sum of its proper divisors (2038987584).

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

989412336 is a wasteful number, since it uses less digits than its factorization.

989412336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1606 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 989412336 is about 31454.9254648616. The cubic root of 989412336 is about 996.4582494792.

The spelling of 989412336 in words is "nine hundred eighty-nine million, four hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 709 792 881 1418 1584 1762 2127 2643 2836 3524 4254 5286 5672 6381 7048 7799 7929 8508 9691 10572 11344 12762 14096 15598 15858 17016 19382 21144 23397 25524 29073 31196 31716 34032 38764 42288 46794 51048 58146 62392 63432 70191 77528 87219 93588 102096 116292 124784 126864 140382 155056 174438 187176 232584 280764 348876 374352 465168 561528 624629 697752 1123056 1249258 1395504 1873887 2498516 3747774 4997032 5621661 6870919 7495548 9994064 11243322 13741838 14991096 20612757 22486644 27483676 29982192 41225514 44973288 54967352 61838271 82451028 89946576 109934704 123676542 164902056 247353084 329804112 494706168 989412336