50889600 has 384 divisors, whose sum is σ = 202368000. Its totient is φ = 12441600.

The previous prime is 50889599. The next prime is 50889607. The reversal of 50889600 is 698805.

50889600 = 25³ + 26³ + ... + 119³.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50889607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1641585 + ... + 1641615.

It is an arithmetic number, because the mean of its divisors is an integer number (527000).

Almost surely, 2^50889600 is an apocalyptic number.

50889600 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 50889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101184000).

50889600 is an abundant number, since it is smaller than the sum of its proper divisors (151478400).

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

50889600 is a wasteful number, since it uses less digits than its factorization.

50889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

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

The square root of 50889600 is about 7133.6946948969. The cubic root of 50889600 is about 370.5751949526.

The spelling of 50889600 in words is "fifty million, eight hundred eighty-nine thousand, six hundred".