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800041225 = 5256572
BaseRepresentation
bin101111101011111…
…010100100001001
32001202102022020111
4233223322210021
53114302304400
6211215354321
725553144464
oct5753724411
92052368214
10800041225
113806698a5
121a3b229a1
13c9998899
147837a2db
154a3843ba
hex2fafa909

800041225 has 9 divisors (see below), whose sum is σ = 992226517. Its totient is φ = 639919840.

The previous prime is 800041153. The next prime is 800041259. The reversal of 800041225 is 522140008.

The square root of 800041225 is 28285.

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

It can be written as a sum of positive squares in 4 ways, for example, as 259757689 + 540283536 = 16117^2 + 23244^2 .

It is not a de Polignac number, because 800041225 - 227 = 665823497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 800041196 and 800041205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 138597 + ... + 144253.

Almost surely, 2800041225 is an apocalyptic number.

800041225 is the 28285-th square number.

800041225 is the 14143-rd centered octagonal number.

It is an amenable number.

800041225 is a deficient number, since it is larger than the sum of its proper divisors (192185292).

800041225 is an frugal number, since it uses more digits than its factorization.

800041225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11324 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The cubic root of 800041225 is about 928.3337122403. Note that the first 3 decimals are identical.

The spelling of 800041225 in words is "eight hundred million, forty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 5657 28285 141425 32001649 160008245 800041225