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506440041 = 3192467627
BaseRepresentation
bin11110001011111…
…010100101101001
31022021221211010120
4132023322211221
52014122040131
6122130433453
715356445402
oct3613724551
91267854116
10506440041
1123a965998
12121732889
1380bcb483
144b3909a9
152e6db496
hex1e2fa969

506440041 has 12 divisors (see below), whose sum is σ = 712665072. Its totient is φ = 319856184.

The previous prime is 506440037. The next prime is 506440043. The reversal of 506440041 is 140044605.

It is not a de Polignac number, because 506440041 - 22 = 506440037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506439993 and 506440020.

It is not an unprimeable number, because it can be changed into a prime (506440043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 232731 + ... + 234896.

It is an arithmetic number, because the mean of its divisors is an integer number (59388756).

Almost surely, 2506440041 is an apocalyptic number.

It is an amenable number.

506440041 is a deficient number, since it is larger than the sum of its proper divisors (206225031).

506440041 is a wasteful number, since it uses less digits than its factorization.

506440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467668 (or 467649 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 506440041 is about 22504.2227370776. Note that the first 3 decimals coincide. The cubic root of 506440041 is about 797.0936421623.

Adding to 506440041 its reverse (140044605), we get a palindrome (646484646).

The spelling of 506440041 in words is "five hundred six million, four hundred forty thousand, forty-one".

Divisors: 1 3 19 57 361 1083 467627 1402881 8884913 26654739 168813347 506440041