49932288 has 240 divisors, whose sum is σ = 174414240. Its totient is φ = 13934592.

The previous prime is 49932269. The next prime is 49932313. The reversal of 49932288 is 88223994.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161195 + ... + 1161237.

It is an arithmetic number, because the mean of its divisors is an integer number (726726).

Almost surely, 2^49932288 is an apocalyptic number.

49932288 is a gapful number since it is divisible by the number (48) 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 49932288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87207120).

49932288 is an abundant number, since it is smaller than the sum of its proper divisors (124481952).

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

49932288 is an equidigital number, since it uses as much as digits as its factorization.

49932288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 49932288 is about 7066.2782283179. The cubic root of 49932288 is about 368.2367726426.

The spelling of 49932288 in words is "forty-nine million, nine hundred thirty-two thousand, two hundred eighty-eight".