Search a number
-
+
809042841 = 32292891201
BaseRepresentation
bin110000001110010…
…000001110011001
32002101100122010200
4300032100032121
53124103332331
6212140332413
726022515325
oct6016201631
92071318120
10809042841
11385757952
121a6b44109
13cb7cab99
1479640985
154b0615e6
hex30390399

809042841 has 36 divisors (see below), whose sum is σ = 1224922140. Its totient is φ = 514483200.

The previous prime is 809042831. The next prime is 809042887. The reversal of 809042841 is 148240908.

It can be written as a sum of positive squares in 6 ways, for example, as 195440400 + 613602441 = 13980^2 + 24771^2 .

It is not a de Polignac number, because 809042841 - 214 = 809026457 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 809042796 and 809042805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809042831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 673041 + ... + 674241.

It is an arithmetic number, because the mean of its divisors is an integer number (34025615).

Almost surely, 2809042841 is an apocalyptic number.

It is an amenable number.

809042841 is a deficient number, since it is larger than the sum of its proper divisors (415879299).

809042841 is a wasteful number, since it uses less digits than its factorization.

809042841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 809042841 is about 28443.6784013601. The cubic root of 809042841 is about 931.8024323035.

The spelling of 809042841 in words is "eight hundred nine million, forty-two thousand, eight hundred forty-one".

Divisors: 1 3 9 29 87 89 261 267 801 841 1201 2523 2581 3603 7569 7743 10809 23229 34829 74849 104487 106889 224547 313461 320667 673641 962001 1010041 3030123 3099781 9090369 9299343 27898029 89893649 269680947 809042841