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538800041 = 13401103357
BaseRepresentation
bin100000000111010…
…110111110101001
31101112211212201002
4200013112332221
52100413100131
6125244204345
716231503413
oct4007267651
91345755632
10538800041
1125715849a
121305396b5
138781b6c0
14517b59b3
153247e6cb
hex201d6fa9

538800041 has 8 divisors (see below), whose sum is σ = 581698824. Its totient is φ = 496108800.

The previous prime is 538800029. The next prime is 538800089. The reversal of 538800041 is 140008835.

538800041 is digitally balanced in base 2, 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 232410025 + 306390016 = 15245^2 + 17504^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 538800041 - 218 = 538537897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 538799977 and 538800013.

It is not an unprimeable number, because it can be changed into a prime (538800341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46466 + ... + 56891.

It is an arithmetic number, because the mean of its divisors is an integer number (72712353).

Almost surely, 2538800041 is an apocalyptic number.

It is an amenable number.

538800041 is a deficient number, since it is larger than the sum of its proper divisors (42898783).

538800041 is a wasteful number, since it uses less digits than its factorization.

538800041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103771.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 538800041 is about 23212.0667110880. The cubic root of 538800041 is about 813.7216543336.

Adding to 538800041 its reverse (140008835), we get a palindrome (678808876).

The spelling of 538800041 in words is "five hundred thirty-eight million, eight hundred thousand, forty-one".

Divisors: 1 13 401 5213 103357 1343641 41446157 538800041