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808084416 = 26341102653
BaseRepresentation
bin110000001010100…
…110001111000000
32002022112221102110
4300022212033000
53123332200131
6212104015320
726011414146
oct6012461700
92068487373
10808084416
11385162867
121a6761540
13cb553879
1479471596
154ae22646
hex302a63c0

808084416 has 56 divisors (see below), whose sum is σ = 2190225744. Its totient is φ = 262789120.

The previous prime is 808084379. The next prime is 808084427. The reversal of 808084416 is 614480808.

It is a super-2 number, since 2×8080844162 = 1306000846764122112, 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 7 ways as a sum of consecutive naturals, for example, 43455 + ... + 59198.

It is an arithmetic number, because the mean of its divisors is an integer number (39111174).

Almost surely, 2808084416 is an apocalyptic number.

It is an amenable number.

808084416 is an abundant number, since it is smaller than the sum of its proper divisors (1382141328).

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

808084416 is a wasteful number, since it uses less digits than its factorization.

808084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102709 (or 102699 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 808084416 is about 28426.8256405811. The cubic root of 808084416 is about 931.4343365793.

The spelling of 808084416 in words is "eight hundred eight million, eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 102653 205306 307959 410612 615918 821224 1231836 1642448 2463672 3284896 4208773 4927344 6569792 8417546 9854688 12626319 16835092 19709376 25252638 33670184 50505276 67340368 101010552 134680736 202021104 269361472 404042208 808084416