50824000 has 56 divisors (see below), whose sum is σ = 125885448. Its totient is φ = 20326400.

The previous prime is 50823959. The next prime is 50824013. The reversal of 50824000 is 42805.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 48108096 = 1648^2 + 6936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4824 + ... + 11176.

Almost surely, 2^50824000 is an apocalyptic number.

50824000 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 50824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62942724).

50824000 is an abundant number, since it is smaller than the sum of its proper divisors (75061448).

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

50824000 is an equidigital number, since it uses as much as digits as its factorization.

50824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 50824000 is about 7129.0953142738. The cubic root of 50824000 is about 370.4158946510.

Adding to 50824000 its reverse (42805), we get a palindrome (50866805).

The spelling of 50824000 in words is "fifty million, eight hundred twenty-four thousand".