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808861248 = 26331336007
BaseRepresentation
bin110000001101100…
…011111001000000
32002101000102001000
4300031203321000
53124032024443
6212132412000
726021131026
oct6015437100
92071012030
10808861248
11385643478
121a6a77000
13cb766330
14795d4716
154b0278d3
hex30363e40

808861248 has 112 divisors (see below), whose sum is σ = 2560888960. Its totient is φ = 248873472.

The previous prime is 808861237. The next prime is 808861297. The reversal of 808861248 is 842168808.

It is a happy number.

It is a super-2 number, since 2×8088612482 = 1308513037032235008, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4461 + ... + 40467.

It is an arithmetic number, because the mean of its divisors is an integer number (22865080).

Almost surely, 2808861248 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 808861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280444480).

808861248 is an abundant number, since it is smaller than the sum of its proper divisors (1752027712).

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

808861248 is a wasteful number, since it uses less digits than its factorization.

808861248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36041 (or 36025 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 808861248 is about 28440.4860717956. The cubic root of 808861248 is about 931.7327114547.

The spelling of 808861248 in words is "eight hundred eight million, eight hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 36007 72014 108021 144028 216042 288056 324063 432084 468091 576112 648126 864168 936182 972189 1152224 1296252 1404273 1728336 1872364 1944378 2304448 2592504 2808546 3456672 3744728 3888756 4212819 5185008 5617092 6913344 7489456 7777512 8425638 10370016 11234184 12638457 14978912 15555024 16851276 20740032 22468368 25276914 29957824 31110048 33702552 44936736 50553828 62220096 67405104 89873472 101107656 134810208 202215312 269620416 404430624 808861248