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803813805 = 325171050737
BaseRepresentation
bin101111111010010…
…011100110101101
32002000111222020200
4233322103212231
53121234020210
6211432304113
725630206324
oct5772234655
92060458220
10803813805
11382806233
121a5242039
13ca6b9a92
1478a7d0bb
154a87c0c0
hex2fe939ad

803813805 has 24 divisors (see below), whose sum is σ = 1475236152. Its totient is φ = 403482624.

The previous prime is 803813797. The next prime is 803813819. The reversal of 803813805 is 508318308.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82246761 + 721567044 = 9069^2 + 26862^2 .

It is not a de Polignac number, because 803813805 - 23 = 803813797 is a prime.

It is a super-2 number, since 2×8038138052 = 1292233266217156050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 803813805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524604 + ... + 526133.

It is an arithmetic number, because the mean of its divisors is an integer number (61468173).

Almost surely, 2803813805 is an apocalyptic number.

803813805 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

803813805 is a deficient number, since it is larger than the sum of its proper divisors (671422347).

803813805 is a wasteful number, since it uses less digits than its factorization.

803813805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050765 (or 1050762 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 803813805 is about 28351.6102717288. The cubic root of 803813805 is about 929.7906049555.

The spelling of 803813805 in words is "eight hundred three million, eight hundred thirteen thousand, eight hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1050737 3152211 5253685 9456633 15761055 17862529 47283165 53587587 89312645 160762761 267937935 803813805