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441042225 = 35213463977
BaseRepresentation
bin11010010010011…
…100010100110001
31010201220021012020
4122102130110301
51400401322400
6111433022053
713633540251
oct3222342461
91121807166
10441042225
11206a58608
12103854929
13704b1640
1442809961
1528abe2a0
hex1a49c531

441042225 has 48 divisors (see below), whose sum is σ = 787782912. Its totient is φ = 216437760.

The previous prime is 441042209. The next prime is 441042229. The reversal of 441042225 is 522240144.

It is a happy number.

It is not a de Polignac number, because 441042225 - 24 = 441042209 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 441042195 and 441042204.

It is not an unprimeable number, because it can be changed into a prime (441042229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450937 + ... + 451913.

It is an arithmetic number, because the mean of its divisors is an integer number (16412144).

Almost surely, 2441042225 is an apocalyptic number.

It is an amenable number.

441042225 is a deficient number, since it is larger than the sum of its proper divisors (346740687).

441042225 is a wasteful number, since it uses less digits than its factorization.

441042225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 441042225 is about 21001.0053330787. The cubic root of 441042225 is about 761.1905537850.

Adding to 441042225 its reverse (522240144), we get a palindrome (963282369).

The spelling of 441042225 in words is "four hundred forty-one million, forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 325 463 975 977 1389 2315 2931 4885 6019 6945 11575 12701 14655 18057 24425 30095 34725 38103 63505 73275 90285 150475 190515 317525 451425 452351 952575 1357053 2261755 5880563 6785265 11308775 17641689 29402815 33926325 88208445 147014075 441042225