48743136 has 144 divisors (see below), whose sum is σ = 153002304. Its totient is φ = 14625792.

The previous prime is 48743099. The next prime is 48743143. The reversal of 48743136 is 63134784.

48743136 is a `hidden beast` number, since 487 + 43 + 136 = 666.

48743136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×48743136² = 4751786614228992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48743136.

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 23 ways as a sum of consecutive naturals, for example, 175830 + ... + 176106.

It is an arithmetic number, because the mean of its divisors is an integer number (1062516).

Almost surely, 2^48743136 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 48743136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76501152).

48743136 is an abundant number, since it is smaller than the sum of its proper divisors (104259168).

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

48743136 is a wasteful number, since it uses less digits than its factorization.

48743136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 48743136 is about 6981.6284633315. The cubic root of 48743136 is about 365.2900328148.

The spelling of 48743136 in words is "forty-eight million, seven hundred forty-three thousand, one hundred thirty-six".