49200144 has 80 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 13962240.

The previous prime is 49200143. The next prime is 49200167. The reversal of 49200144 is 44100294.

49200144 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49200143) 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 15 ways as a sum of consecutive naturals, for example, 60412 + ... + 61220.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^49200144 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 49200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

49200144 is an abundant number, since it is smaller than the sum of its proper divisors (97040496).

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

49200144 is a wasteful number, since it uses less digits than its factorization.

49200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 49200144 is about 7014.2814314796. The cubic root of 49200144 is about 366.4281173797.

The spelling of 49200144 in words is "forty-nine million, two hundred thousand, one hundred forty-four".