49977144 has 192 divisors, whose sum is σ = 172972800. Its totient is φ = 12690432.

The previous prime is 49977143. The next prime is 49977173. The reversal of 49977144 is 44177994.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49977144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49977143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162639 + ... + 162945.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^49977144 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 49977144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

49977144 is an abundant number, since it is smaller than the sum of its proper divisors (122995656).

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

49977144 is a wasteful number, since it uses less digits than its factorization.

49977144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 49977144 is about 7069.4514638690. The cubic root of 49977144 is about 368.3470064925.

The spelling of 49977144 in words is "forty-nine million, nine hundred seventy-seven thousand, one hundred forty-four".