50126800 has 60 divisors (see below), whose sum is σ = 121604940. Its totient is φ = 19855360.

The previous prime is 50126789. The next prime is 50126801. The reversal of 50126800 is 862105.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25644096 + 24482704 = 5064^2 + 4948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50126801) 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, 44646 + ... + 45754.

It is an arithmetic number, because the mean of its divisors is an integer number (2026749).

Almost surely, 2^50126800 is an apocalyptic number.

50126800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60802470).

50126800 is an abundant number, since it is smaller than the sum of its proper divisors (71478140).

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

50126800 is a wasteful number, since it uses less digits than its factorization.

50126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 50126800 is about 7080.0282485312. The cubic root of 50126800 is about 368.7143104404.

Adding to 50126800 its reverse (862105), we get a palindrome (50988905).

The spelling of 50126800 in words is "fifty million, one hundred twenty-six thousand, eight hundred".