49600144 has 40 divisors (see below), whose sum is σ = 109403712. Its totient is φ = 21563520.

The previous prime is 49600141. The next prime is 49600147. The reversal of 49600144 is 44100694.

49600144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49600141) and next prime (49600147).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49600141) 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 7 ways as a sum of consecutive naturals, for example, 2079 + ... + 10174.

Almost surely, 2^49600144 is an apocalyptic number.

49600144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

49600144 is an abundant number, since it is smaller than the sum of its proper divisors (59803568).

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

49600144 is a wasteful number, since it uses less digits than its factorization.

49600144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 49600144 is about 7042.7369679692. The cubic root of 49600144 is about 367.4184655684.

The spelling of 49600144 in words is "forty-nine million, six hundred thousand, one hundred forty-four".