50032000 has 128 divisors (see below), whose sum is σ = 128887200. Its totient is φ = 19302400.

The previous prime is 50031991. The next prime is 50032001. The reversal of 50032000 is 23005.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50032001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847971 + ... + 848029.

Almost surely, 2^50032000 is an apocalyptic number.

50032000 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 50032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64443600).

50032000 is an abundant number, since it is smaller than the sum of its proper divisors (78855200).

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

50032000 is an equidigital number, since it uses as much as digits as its factorization.

50032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 50032000 is about 7073.3301916424. The cubic root of 50032000 is about 368.4817257755.

Adding to 50032000 its reverse (23005), we get a palindrome (50055005).

It can be divided in two parts, 500 and 32000, that multiplied together give a square (16000000 = 4000²).

The spelling of 50032000 in words is "fifty million, thirty-two thousand", and thus it is an eban number.