50253984 has 144 divisors (see below), whose sum is σ = 161572320. Its totient is φ = 14676480.

The previous prime is 50253979. The next prime is 50253997. The reversal of 50253984 is 48935205.

50253984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91599 + ... + 92145.

It is an arithmetic number, because the mean of its divisors is an integer number (1122030).

Almost surely, 2^50253984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50253984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80786160).

50253984 is an abundant number, since it is smaller than the sum of its proper divisors (111318336).

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

50253984 is a wasteful number, since it uses less digits than its factorization.

50253984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 50253984 is about 7089.0044435026. The cubic root of 50253984 is about 369.0258866542.

It can be divided in two parts, 5025 and 3984, that added together give a palindrome (9009).

The spelling of 50253984 in words is "fifty million, two hundred fifty-three thousand, nine hundred eighty-four".