50832144 has 160 divisors (see below), whose sum is σ = 167846400. Its totient is φ = 14567040.

The previous prime is 50832137. The next prime is 50832179. The reversal of 50832144 is 44123805.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90007 + ... + 90569.

It is an arithmetic number, because the mean of its divisors is an integer number (1049040).

Almost surely, 2^50832144 is an apocalyptic number.

50832144 is a gapful number since it is divisible by the number (54) 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 50832144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83923200).

50832144 is an abundant number, since it is smaller than the sum of its proper divisors (117014256).

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

50832144 is a wasteful number, since it uses less digits than its factorization.

50832144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 50832144 is about 7129.6664718625. Note that the first 3 decimals coincide. The cubic root of 50832144 is about 370.4356786503.

Adding to 50832144 its reverse (44123805), we get a palindrome (94955949).

It can be divided in two parts, 5083 and 2144, that added together give a palindrome (7227).

The spelling of 50832144 in words is "fifty million, eight hundred thirty-two thousand, one hundred forty-four".