50739200 has 72 divisors (see below), whose sum is σ = 125929440. Its totient is φ = 20275200.

The previous prime is 50739197. The next prime is 50739211. The reversal of 50739200 is 293705.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 50739200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50705 + ... + 51695.

It is an arithmetic number, because the mean of its divisors is an integer number (1749020).

Almost surely, 2^50739200 is an apocalyptic number.

50739200 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 50739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964720).

50739200 is an abundant number, since it is smaller than the sum of its proper divisors (75190240).

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

50739200 is an equidigital number, since it uses as much as digits as its factorization.

50739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 50739200 is about 7123.1453726567. The cubic root of 50739200 is about 370.2097666144.

The spelling of 50739200 in words is "fifty million, seven hundred thirty-nine thousand, two hundred".