49921344 has 84 divisors (see below), whose sum is σ = 156118560. Its totient is φ = 15125760.

The previous prime is 49921343. The next prime is 49921351. The reversal of 49921344 is 44312994.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 49921299 and 49921308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49921343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2397 + ... + 10275.

Almost surely, 2^49921344 is an apocalyptic number.

49921344 is a gapful number since it is divisible by the number (44) 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 49921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78059280).

49921344 is an abundant number, since it is smaller than the sum of its proper divisors (106197216).

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

49921344 is a wasteful number, since it uses less digits than its factorization.

49921344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908 (or 7895 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 49921344 is about 7065.5038036930. The cubic root of 49921344 is about 368.2098676889.

It can be divided in two parts, 4992 and 1344, that added together give a palindrome (6336).

The spelling of 49921344 in words is "forty-nine million, nine hundred twenty-one thousand, three hundred forty-four".