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808893984 = 25329243233
BaseRepresentation
bin110000001101101…
…011111000100000
32002101002001221110
4300031223320200
53124034101414
6212133223320
726021325333
oct6015537040
92071061843
10808893984
11385666028
121a6a91b40
13cb7781c2
147960261a
154b032459
hex3036be20

808893984 has 144 divisors (see below), whose sum is σ = 2259889632. Its totient is φ = 253188096.

The previous prime is 808893979. The next prime is 808893997. The reversal of 808893984 is 489398808.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3471532 + ... + 3471764.

It is an arithmetic number, because the mean of its divisors is an integer number (15693678).

Almost surely, 2808893984 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 808893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129944816).

808893984 is an abundant number, since it is smaller than the sum of its proper divisors (1450995648).

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

808893984 is a wasteful number, since it uses less digits than its factorization.

808893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The square root of 808893984 is about 28441.0615835626. The cubic root of 808893984 is about 931.7452808914.

The spelling of 808893984 in words is "eight hundred eight million, eight hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 86 87 96 116 129 172 174 232 233 258 344 348 464 466 516 688 696 699 841 928 932 1032 1247 1376 1392 1398 1682 1864 2064 2494 2523 2784 2796 3364 3728 3741 4128 4988 5046 5592 6728 6757 7456 7482 9976 10019 10092 11184 13456 13514 14964 19952 20038 20184 20271 22368 26912 27028 29928 30057 36163 39904 40076 40368 40542 54056 59856 60114 72326 80152 80736 81084 108112 108489 119712 120228 144652 160304 162168 195953 216224 216978 240456 289304 290551 320608 324336 391906 433956 480912 578608 581102 587859 648672 783812 867912 871653 961824 1157216 1162204 1175718 1567624 1735824 1743306 2324408 2351436 3135248 3471648 3486612 4648816 4702872 6270496 6973224 8425979 9297632 9405744 13946448 16851958 18811488 25277937 27892896 33703916 50555874 67407832 101111748 134815664 202223496 269631328 404446992 808893984