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989409408 = 27313474217
BaseRepresentation
bin111010111110010…
…011000010000000
32112221202012112220
4322332103002000
54011242100113
6242102251040
733342561351
oct7276230200
92487665486
10989409408
1146854aa29
12237426a80
13129c9c870
1495591d28
155bcdd523
hex3af93080

989409408 has 128 divisors (see below), whose sum is σ = 2891185920. Its totient is φ = 297885696.

The previous prime is 989409397. The next prime is 989409413. The reversal of 989409408 is 804904989.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 232516 + ... + 236732.

It is an arithmetic number, because the mean of its divisors is an integer number (22587390).

Almost surely, 2989409408 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 989409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445592960).

989409408 is an abundant number, since it is smaller than the sum of its proper divisors (1901776512).

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

989409408 is a wasteful number, since it uses less digits than its factorization.

989409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 989409408 is about 31454.8789220369. The cubic root of 989409408 is about 996.4572665278.

The spelling of 989409408 in words is "nine hundred eighty-nine million, four hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 128 141 156 188 192 208 282 312 376 384 416 564 611 624 752 832 1128 1222 1248 1504 1664 1833 2256 2444 2496 3008 3666 4217 4512 4888 4992 6016 7332 8434 9024 9776 12651 14664 16868 18048 19552 25302 29328 33736 39104 50604 54821 58656 67472 78208 101208 109642 117312 134944 164463 198199 202416 219284 234624 269888 328926 396398 404832 438568 539776 594597 657852 792796 809664 877136 1189194 1315704 1585592 1619328 1754272 2378388 2576587 2631408 3171184 3508544 4756776 5153174 5262816 6342368 7017088 7729761 9513552 10306348 10525632 12684736 15459522 19027104 20612696 21051264 25369472 30919044 38054208 41225392 61838088 76108416 82450784 123676176 164901568 247352352 329803136 494704704 989409408