Search a number
-
+
3822825241 = 17236372
BaseRepresentation
bin1110001111011011…
…1010111100011001
3100212102022122101001
43203312322330121
530312120401431
61431200225001
7163506323044
oct34366727431
910772278331
103822825241
111691981204
128a830b161
1348bcc9791
142839d3c5b
15175928e61
hexe3dbaf19

3822825241 has 9 divisors (see below), whose sum is σ = 4062041949. Its totient is φ = 3596963904.

The previous prime is 3822825217. The next prime is 3822825257. The reversal of 3822825241 is 1425282283.

The square root of 3822825241 is 61829.

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

3822825241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 391208841 + 3431616400 = 19779^2 + 58580^2 .

It is not a de Polignac number, because 3822825241 - 29 = 3822824729 is a prime.

It is a super-2 number, since 2×38228252412 = 29227985646453416162, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3822825241.

It is not an unprimeable number, because it can be changed into a prime (3822835241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1049275 + ... + 1052911.

Almost surely, 23822825241 is an apocalyptic number.

3822825241 is the 61829-th square number.

3822825241 is the 30915-th centered octagonal number.

It is an amenable number.

3822825241 is a deficient number, since it is larger than the sum of its proper divisors (239216708).

3822825241 is an frugal number, since it uses more digits than its factorization.

3822825241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308 (or 3654 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The cubic root of 3822825241 is about 1563.6089523288.

The spelling of 3822825241 in words is "three billion, eight hundred twenty-two million, eight hundred twenty-five thousand, two hundred forty-one".

Divisors: 1 17 289 3637 61829 1051093 13227769 224872073 3822825241