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808397328 = 243174173331
BaseRepresentation
bin110000001011110…
…010101000010000
32002100010211122210
4300023302220100
53123422203303
6212114432120
726014156344
oct6013625020
92070124583
10808397328
11385356972
121a6892640
13cb63311b
1479513624
154ae85203
hex302f2a10

808397328 has 160 divisors (see below), whose sum is σ = 2303102592. Its totient is φ = 243302400.

The previous prime is 808397281. The next prime is 808397329. The reversal of 808397328 is 823793808.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (808397329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2442123 + ... + 2442453.

Almost surely, 2808397328 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 808397328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151551296).

808397328 is an abundant number, since it is smaller than the sum of its proper divisors (1494705264).

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

808397328 is a wasteful number, since it uses less digits than its factorization.

808397328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 808397328 is about 28432.3289232521. The cubic root of 808397328 is about 931.5545465324.

The spelling of 808397328 in words is "eight hundred eight million, three hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 73 82 102 123 136 146 164 204 219 246 272 292 328 331 408 438 492 584 656 662 697 816 876 984 993 1168 1241 1324 1394 1752 1968 1986 2091 2482 2648 2788 2993 3504 3723 3972 4182 4964 5296 5576 5627 5986 7446 7944 8364 8979 9928 11152 11254 11972 13571 14892 15888 16728 16881 17958 19856 22508 23944 24163 27142 29784 33456 33762 35916 40713 45016 47888 48326 50881 54284 59568 67524 71832 72489 81426 90032 96652 101762 108568 135048 143664 144978 152643 162852 193304 203524 217136 230707 270096 289956 305286 325704 386608 407048 410771 461414 579912 610572 651408 692121 814096 821542 922828 990683 1159824 1221144 1232313 1384242 1643084 1845656 1981366 2442288 2464626 2768484 2972049 3286168 3691312 3962732 4929252 5536968 5944098 6572336 7925464 9858504 11073936 11888196 15850928 16841611 19717008 23776392 33683222 47552784 50524833 67366444 101049666 134732888 202099332 269465776 404198664 808397328