50256000 has 192 divisors, whose sum is σ = 180999000. Its totient is φ = 13363200.

The previous prime is 50255977. The next prime is 50256049. The reversal of 50256000 is 65205.

50256000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20575296 + 29680704 = 4536^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 143826 + ... + 144174.

Almost surely, 2^50256000 is an apocalyptic number.

50256000 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 50256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90499500).

50256000 is an abundant number, since it is smaller than the sum of its proper divisors (130743000).

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

50256000 is a wasteful number, since it uses less digits than its factorization.

50256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 50256000 is about 7089.1466341161. The cubic root of 50256000 is about 369.0308212297.

It can be divided in two parts, 5025 and 6000, that added together give a square (11025 = 105²).

The spelling of 50256000 in words is "fifty million, two hundred fifty-six thousand".