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989605764 = 2232741072
BaseRepresentation
bin111010111111000…
…010111110000100
32112222010011220100
4322333002332010
54011314341024
6242110404100
733344340000
oct7277027604
92488104810
10989605764
11468674504
12237500630
1312a03b054
1495603700
155bd2b7c9
hex3afc2f84

989605764 has 135 divisors (see below), whose sum is σ = 2945775287. Its totient is φ = 280102032.

The previous prime is 989605759. The next prime is 989605781. The reversal of 989605764 is 467506989.

The square root of 989605764 is 31458.

It is a perfect power (a square), and thus also a powerful number.

989605764 is a `hidden beast` number, since 9 + 8 + 9 + 60 + 576 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 989605764.

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 44 ways as a sum of consecutive naturals, for example, 9248599 + ... + 9248705.

Almost surely, 2989605764 is an apocalyptic number.

989605764 is the 31458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989605764

989605764 is an abundant number, since it is smaller than the sum of its proper divisors (1956169523).

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

989605764 is a wasteful number, since it uses less digits than its factorization.

989605764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The cubic root of 989605764 is about 996.5231804017.

The spelling of 989605764 in words is "nine hundred eighty-nine million, six hundred five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 107 126 147 196 214 252 294 321 343 428 441 588 642 686 749 882 963 1029 1284 1372 1498 1764 1926 2058 2247 2401 2996 3087 3852 4116 4494 4802 5243 6174 6741 7203 8988 9604 10486 11449 12348 13482 14406 15729 20972 21609 22898 26964 28812 31458 34347 36701 43218 45796 47187 62916 68694 73402 80143 86436 94374 103041 110103 137388 146804 160286 188748 206082 220206 240429 256907 320572 330309 412164 440412 480858 513814 561001 660618 721287 770721 961716 1027628 1122002 1321236 1442574 1541442 1683003 2244004 2312163 2885148 3082884 3366006 3927007 4624326 5049009 6732012 7854014 9248652 10098018 11781021 15708028 20196036 23562042 27489049 35343063 47124084 54978098 70686126 82467147 109956196 141372252 164934294 247401441 329868588 494802882 989605764