48167784 has 240 divisors, whose sum is σ = 165114180. Its totient is φ = 13063680.

The previous prime is 48167771. The next prime is 48167789. The reversal of 48167784 is 48776184.

It can be written as a sum of positive squares in 2 ways, for example, as 48024900 + 142884 = 6930^2 + 378^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48167789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1174804 + ... + 1174844.

Almost surely, 2^48167784 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 48167784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82557090).

48167784 is an abundant number, since it is smaller than the sum of its proper divisors (116946396).

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

48167784 is a wasteful number, since it uses less digits than its factorization.

48167784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 48167784 is about 6940.3014343759. The cubic root of 48167784 is about 363.8470758017.

Subtracting 48167784 from its reverse (48776184), we obtain a square (608400 = 780²).

It can be divided in two parts, 481 and 67784, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 48167784 in words is "forty-eight million, one hundred sixty-seven thousand, seven hundred eighty-four".