49953072 has 120 divisors (see below), whose sum is σ = 148160656. Its totient is φ = 14413824.

The previous prime is 49953067. The next prime is 49953073. The reversal of 49953072 is 27035994.

49953072 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 49953072.

It is not an unprimeable number, because it can be changed into a prime (49953073) 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 23 ways as a sum of consecutive naturals, for example, 180198 + ... + 180474.

Almost surely, 2^49953072 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 49953072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74080328).

49953072 is an abundant number, since it is smaller than the sum of its proper divisors (98207584).

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

49953072 is a wasteful number, since it uses less digits than its factorization.

49953072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 49953072 is about 7067.7487221887. The cubic root of 49953072 is about 368.2878576335.

The spelling of 49953072 in words is "forty-nine million, nine hundred fifty-three thousand, seventy-two".