50896800 has 108 divisors (see below), whose sum is σ = 179500230. Its totient is φ = 13570560.

The previous prime is 50896771. The next prime is 50896819. The reversal of 50896800 is 869805.

It can be written as a sum of positive squares in 3 ways, for example, as 34152336 + 16744464 = 5844^2 + 4092^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3666 + ... + 10734.

Almost surely, 2^50896800 is an apocalyptic number.

50896800 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 50896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89750115).

50896800 is an abundant number, since it is smaller than the sum of its proper divisors (128603430).

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

50896800 is a wasteful number, since it uses less digits than its factorization.

50896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 50896800 is about 7134.1993243811. The cubic root of 50896800 is about 370.5926707930.

The spelling of 50896800 in words is "fifty million, eight hundred ninety-six thousand, eight hundred".