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809986608 = 24334394271
BaseRepresentation
bin110000010001110…
…110101000110000
32002110010120202000
4300101312220300
53124324032413
6212212454000
726033525664
oct6021665060
92073116660
10809986608
11386241a22
121a731a300
13cba6b622
14798088a4
154b19b073
hex30476a30

809986608 has 80 divisors (see below), whose sum is σ = 2330803200. Its totient is φ = 269317440.

The previous prime is 809986601. The next prime is 809986627. The reversal of 809986608 is 806689908.

It is a Harshad number since it is a multiple of its sum of digits (54).

809986608 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (809986601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187513 + ... + 191783.

It is an arithmetic number, because the mean of its divisors is an integer number (29135040).

Almost surely, 2809986608 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 809986608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165401600).

809986608 is an abundant number, since it is smaller than the sum of its proper divisors (1520816592).

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

809986608 is a wasteful number, since it uses less digits than its factorization.

809986608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 809986608 is about 28460.2636670850. The cubic root of 809986608 is about 932.1646144668.

The spelling of 809986608 in words is "eight hundred nine million, nine hundred eighty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 439 878 1317 1756 2634 3512 3951 4271 5268 7024 7902 8542 10536 11853 12813 15804 17084 21072 23706 25626 31608 34168 38439 47412 51252 63216 68336 76878 94824 102504 115317 153756 189648 205008 230634 307512 461268 615024 922536 1845072 1874969 3749938 5624907 7499876 11249814 14999752 16874721 22499628 29999504 33749442 44999256 50624163 67498884 89998512 101248326 134997768 202496652 269995536 404993304 809986608