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808230528 = 2733733409
BaseRepresentation
bin110000001011001…
…001111010000000
32002022211100212000
4300023021322000
53123401334103
6212111104000
726012563140
oct6013117200
92068740760
10808230528
11385252616
121a6812000
13cb5a5221
14794ac920
154ae50aa3
hex302c9e80

808230528 has 128 divisors (see below), whose sum is σ = 2726256000. Its totient is φ = 230916096.

The previous prime is 808230517. The next prime is 808230547. The reversal of 808230528 is 825032808.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 808230492 and 808230501.

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 15 ways as a sum of consecutive naturals, for example, 7488 + ... + 40896.

It is an arithmetic number, because the mean of its divisors is an integer number (21298875).

Almost surely, 2808230528 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 808230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363128000).

808230528 is an abundant number, since it is smaller than the sum of its proper divisors (1918025472).

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

808230528 is a wasteful number, since it uses less digits than its factorization.

808230528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33439 (or 33421 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 808230528 is about 28429.3954912868. The cubic root of 808230528 is about 931.4904716107.

The spelling of 808230528 in words is "eight hundred eight million, two hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 33409 66818 100227 133636 200454 233863 267272 300681 400908 467726 534544 601362 701589 801816 902043 935452 1069088 1202724 1403178 1603632 1804086 1870904 2104767 2138176 2405448 2806356 3207264 3608172 3741808 4209534 4276352 4810896 5612712 6314301 6414528 7216344 7483616 8419068 9621792 11225424 12628602 12829056 14432688 14967232 16838136 19243584 22450848 25257204 28865376 29934464 33676272 38487168 44901696 50514408 57730752 67352544 89803392 101028816 115461504 134705088 202057632 269410176 404115264 808230528