Search a number
-
+
506050506 = 2321312171777
BaseRepresentation
bin11110001010011…
…011011111001010
31022021020000210100
4132022123133022
52014022104011
6122114230230
715353233623
oct3612333712
91267200710
10506050506
1123a71a265
12121585376
1380ac3090
144b2cca4a
152e660d56
hex1e29b7ca

506050506 has 48 divisors (see below), whose sum is σ = 1182419784. Its totient is φ = 155492352.

The previous prime is 506050487. The next prime is 506050507. The reversal of 506050506 is 605050605.

506050506 is a `hidden beast` number, since 5 + 0 + 605 + 0 + 50 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 311699025 + 194351481 = 17655^2 + 13941^2 .

It is a super-2 number, since 2×5060505062 = 512174229245712072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506050506.

It is not an unprimeable number, because it can be changed into a prime (506050507) 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 23 ways as a sum of consecutive naturals, for example, 283890 + ... + 285666.

Almost surely, 2506050506 is an apocalyptic number.

506050506 is an abundant number, since it is smaller than the sum of its proper divisors (676369278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506050506 is a wasteful number, since it uses less digits than its factorization.

506050506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 506050506 is about 22495.5663631748. The cubic root of 506050506 is about 796.8892247334.

Subtracting 506050506 from its reverse (605050605), we obtain a palindrome (99000099).

The spelling of 506050506 in words is "five hundred six million, fifty thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1217 1777 2434 3554 3651 5331 7302 10662 10953 15821 15993 21906 23101 31642 31986 46202 47463 69303 94926 138606 142389 207909 284778 415818 2162609 4325218 6487827 12975654 19463481 28113917 38926962 56227834 84341751 168683502 253025253 506050506