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801739225 = 52728092
BaseRepresentation
bin101111110010011…
…001000111011001
32001212121120110101
4233302121013121
53120221123400
6211320015401
725603446100
oct5762310731
92055546411
10801739225
11381619601
121a4601561
13ca141711
147869d037
154a5bc56a
hex2fc991d9

801739225 has 27 divisors (see below), whose sum is σ = 1157899197. Its totient is φ = 549084480.

The previous prime is 801739187. The next prime is 801739231. The reversal of 801739225 is 522937108.

The square root of 801739225 is 28315.

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 65593801 + 736145424 = 8099^2 + 27132^2 .

It is not a de Polignac number, because 801739225 - 211 = 801737177 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 990621 + ... + 991429.

Almost surely, 2801739225 is an apocalyptic number.

801739225 is the 28315-th square number.

801739225 is the 14158-th centered octagonal number.

It is an amenable number.

801739225 is a deficient number, since it is larger than the sum of its proper divisors (356159972).

801739225 is an frugal number, since it uses more digits than its factorization.

801739225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The cubic root of 801739225 is about 928.9900104097.

It can be divided in two parts, 80173 and 9225, that added together give a palindrome (89398).

The spelling of 801739225 in words is "eight hundred one million, seven hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 809 1225 4045 5663 20225 28315 39641 141575 198205 654481 991025 3272405 4581367 16362025 22906835 32069569 114534175 160347845 801739225