49822080 has 256 divisors, whose sum is σ = 198581760. Its totient is φ = 10321920.

The previous prime is 49822057. The next prime is 49822099. The reversal of 49822080 is 8022894.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 147672 + ... + 148008.

It is an arithmetic number, because the mean of its divisors is an integer number (775710).

Almost surely, 2^49822080 is an apocalyptic number.

49822080 is a gapful number since it is divisible by the number (40) 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 49822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99290880).

49822080 is an abundant number, since it is smaller than the sum of its proper divisors (148759680).

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

49822080 is a wasteful number, since it uses less digits than its factorization.

49822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 49822080 is about 7058.4757561389. The cubic root of 49822080 is about 367.9656552699.

It can be divided in two parts, 498 and 22080, that added together give a triangular number (22578 = T₂₁₂).

The spelling of 49822080 in words is "forty-nine million, eight hundred twenty-two thousand, eighty".