Search a number
-
+
804833265625 = 5671772
BaseRepresentation
bin10111011011000111100…
…11010000011111011001
32211221102012210001222121
423231203303100133121
5101141244304000000
61413422454021241
7112101342611314
oct13554363203731
92757365701877
10804833265625
1129036743a7a4
1210bb95047821
135ab843ca46c
142ad5022397b
1515e077b0b1a
hexbb63cd07d9

804833265625 has 21 divisors (see below), whose sum is σ = 1006168898217. Its totient is φ = 643776900000.

The previous prime is 804833265623. The next prime is 804833265631. The reversal of 804833265625 is 526562338408.

The square root of 804833265625 is 897125.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 796925787849 + 7907477776 = 892707^2 + 88924^2 .

It is not a de Polignac number, because 804833265625 - 21 = 804833265623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (804833265623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 112137037 + ... + 112144213.

It is an arithmetic number, because the mean of its divisors is an integer number (47912804677).

Almost surely, 2804833265625 is an apocalyptic number.

804833265625 is the 897125-th square number.

804833265625 is the 448563-rd centered octagonal number.

It is an amenable number.

804833265625 is a deficient number, since it is larger than the sum of its proper divisors (201335632592).

804833265625 is an frugal number, since it uses more digits than its factorization.

804833265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384 (or 7182 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 804833265625 in words is "eight hundred four billion, eight hundred thirty-three million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 3125 7177 15625 35885 179425 897125 4485625 22428125 51509329 112140625 257546645 1287733225 6438666125 32193330625 160966653125 804833265625