Search a number
-
+
809309841 = 3538957191
BaseRepresentation
bin110000001111010…
…001011010010001
32002101212012101120
4300033101122101
53124140403331
6212150152453
726025006624
oct6017213221
92071765346
10809309841
1138591a50a
121a7052729
13cb892582
14796addbb
154b0b5796
hex303d1691

809309841 has 16 divisors (see below), whose sum is σ = 1111812480. Its totient is φ = 523402880.

The previous prime is 809309821. The next prime is 809309909. The reversal of 809309841 is 148903908.

It is a cyclic number.

It is not a de Polignac number, because 809309841 - 222 = 805115537 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 809309793 and 809309802.

It is not an unprimeable number, because it can be changed into a prime (809309821) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14445 + ... + 42746.

It is an arithmetic number, because the mean of its divisors is an integer number (69488280).

Almost surely, 2809309841 is an apocalyptic number.

It is an amenable number.

809309841 is a deficient number, since it is larger than the sum of its proper divisors (302502639).

809309841 is a wasteful number, since it uses less digits than its factorization.

809309841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57336.

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 809309841 is about 28448.3714999646. The cubic root of 809309841 is about 931.9049253867.

The spelling of 809309841 in words is "eight hundred nine million, three hundred nine thousand, eight hundred forty-one".

Divisors: 1 3 53 89 159 267 4717 14151 57191 171573 3031123 5089999 9093369 15269997 269769947 809309841