Search a number
-
+
809004350 = 252711210131
BaseRepresentation
bin110000001110000…
…110110100111110
32002101021200100002
4300032012310332
53124101114400
6212135434302
726022265160
oct6016066476
92071250302
10809004350
11385730a40
121a6b25992
13cb7b64cb
1479630930
154b054ed5
hex30386d3e

809004350 has 48 divisors (see below), whose sum is σ = 1876058496. Its totient is φ = 252156000.

The previous prime is 809004331. The next prime is 809004359. The reversal of 809004350 is 53400908.

809004350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809004359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101216 + ... + 108915.

It is an arithmetic number, because the mean of its divisors is an integer number (39084552).

Almost surely, 2809004350 is an apocalyptic number.

809004350 is an abundant number, since it is smaller than the sum of its proper divisors (1067054146).

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

809004350 is a wasteful number, since it uses less digits than its factorization.

809004350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210161 (or 210156 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 809004350 is about 28443.0017754807. The cubic root of 809004350 is about 931.7876549335.

The spelling of 809004350 in words is "eight hundred nine million, four thousand, three hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 154 175 275 350 385 550 770 1925 3850 210131 420262 1050655 1470917 2101310 2311441 2941834 4622882 5253275 7354585 10506550 11557205 14709170 16180087 23114410 32360174 36772925 57786025 73545850 80900435 115572050 161800870 404502175 809004350