48738144 has 144 divisors (see below), whose sum is σ = 160474608. Its totient is φ = 12837888.

The previous prime is 48738121. The next prime is 48738187. The reversal of 48738144 is 44183784.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60754 + ... + 61550.

It is an arithmetic number, because the mean of its divisors is an integer number (1114407).

Almost surely, 2^48738144 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 48738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80237304).

48738144 is an abundant number, since it is smaller than the sum of its proper divisors (111736464).

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

48738144 is a wasteful number, since it uses less digits than its factorization.

48738144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 822 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 48738144 is about 6981.2709444628. The cubic root of 48738144 is about 365.2775620668.

The spelling of 48738144 in words is "forty-eight million, seven hundred thirty-eight thousand, one hundred forty-four".