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808893072 = 2432132318787
BaseRepresentation
bin110000001101101…
…011101010010000
32002101002000200200
4300031223222100
53124034034242
6212133215200
726021322561
oct6015535220
92071060620
10808893072
11385665379
121a6a91500
13cb777970
1479602168
154b03204c
hex3036ba90

808893072 has 120 divisors (see below), whose sum is σ = 2544045504. Its totient is φ = 238056192.

The previous prime is 808893067. The next prime is 808893083. The reversal of 808893072 is 270398808.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33663 + ... + 52449.

Almost surely, 2808893072 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 808893072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272022752).

808893072 is an abundant number, since it is smaller than the sum of its proper divisors (1735152432).

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

808893072 is a wasteful number, since it uses less digits than its factorization.

808893072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837 (or 18828 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 808893072 is about 28441.0455504013. The cubic root of 808893072 is about 931.7449307210.

The spelling of 808893072 in words is "eight hundred eight million, eight hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1656 1794 1872 2392 2691 3312 3588 4784 5382 7176 10764 14352 18787 21528 37574 43056 56361 75148 112722 150296 169083 225444 244231 300592 338166 432101 450888 488462 676332 732693 864202 901776 976924 1296303 1352664 1465386 1728404 1953848 2198079 2592606 2705328 2930772 3456808 3888909 3907696 4396158 5185212 5617313 5861544 6913616 7777818 8792316 10370424 11234626 11723088 15555636 16851939 17584632 20740848 22469252 31111272 33703878 35169264 44938504 50555817 62222544 67407756 89877008 101111634 134815512 202223268 269631024 404446536 808893072