49605144 has 64 divisors (see below), whose sum is σ = 128874240. Its totient is φ = 15899520.

The previous prime is 49605131. The next prime is 49605151. The reversal of 49605144 is 44150694.

49605144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49605144² = 4921340622521472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 72934 + ... + 73610.

It is an arithmetic number, because the mean of its divisors is an integer number (2013660).

Almost surely, 2^49605144 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 49605144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64437120).

49605144 is an abundant number, since it is smaller than the sum of its proper divisors (79269096).

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

49605144 is a wasteful number, since it uses less digits than its factorization.

49605144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 49605144 is about 7043.0919346548. The cubic root of 49605144 is about 367.4308111683.

The spelling of 49605144 in words is "forty-nine million, six hundred five thousand, one hundred forty-four".