49006944 has 240 divisors, whose sum is σ = 171487008. Its totient is φ = 13436928.

The previous prime is 49006943. The next prime is 49006957. The reversal of 49006944 is 44960094.

49006944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 49006899 and 49006908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49006943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671292 + ... + 671364.

Almost surely, 2^49006944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49006944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85743504).

49006944 is an abundant number, since it is smaller than the sum of its proper divisors (122480064).

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

49006944 is a wasteful number, since it uses less digits than its factorization.

49006944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

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

The square root of 49006944 is about 7000.4959824287. The cubic root of 49006944 is about 365.9478560490.

The spelling of 49006944 in words is "forty-nine million, six thousand, nine hundred forty-four".