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808134912 = 28321326981
BaseRepresentation
bin110000001010110…
…010100100000000
32002022122111200200
4300022302210000
53123340304122
6212105045200
726012014314
oct6012624400
92068574620
10808134912
113851977a2
121a6786800
13cb570850
1479485b44
154ae325ac
hex302b2900

808134912 has 108 divisors (see below), whose sum is σ = 2509379964. Its totient is φ = 248647680.

The previous prime is 808134889. The next prime is 808134917. The reversal of 808134912 is 219431808.

It can be written as a sum of positive squares in 2 ways, for example, as 103550976 + 704583936 = 10176^2 + 26544^2 .

It is a super-3 number, since 3×8081349123 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (808134917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16462 + ... + 43442.

Almost surely, 2808134912 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 808134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254689982).

808134912 is an abundant number, since it is smaller than the sum of its proper divisors (1701245052).

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

808134912 is a wasteful number, since it uses less digits than its factorization.

808134912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27016 (or 26999 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 808134912 is about 28427.7138018519. The cubic root of 808134912 is about 931.4537374932.

The spelling of 808134912 in words is "eight hundred eight million, one hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 26981 29952 53962 80943 107924 161886 215848 242829 323772 350753 431696 485658 647544 701506 863392 971316 1052259 1295088 1403012 1726784 1942632 2104518 2590176 2806024 3156777 3453568 3885264 4209036 5180352 5612048 6313554 6907136 7770528 8418072 10360704 11224096 12627108 15541056 16836144 20721408 22448192 25254216 31082112 33672288 44896384 50508432 62164224 67344576 89792768 101016864 134689152 202033728 269378304 404067456 808134912