49050144 has 192 divisors, whose sum is σ = 168497280. Its totient is φ = 13685760.

The previous prime is 49050139. The next prime is 49050163. The reversal of 49050144 is 44105094.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123354 + ... + 123750.

It is an arithmetic number, because the mean of its divisors is an integer number (877590).

Almost surely, 2^49050144 is an apocalyptic number.

49050144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84248640).

49050144 is an abundant number, since it is smaller than the sum of its proper divisors (119447136).

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

49050144 is a wasteful number, since it uses less digits than its factorization.

49050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 49050144 is about 7003.5807984202. The cubic root of 49050144 is about 366.0553530901.

It can be divided in two parts, 490501 and 44, that added together give a triangular number (490545 = T₉₉₀).

The spelling of 49050144 in words is "forty-nine million, fifty thousand, one hundred forty-four".