48786192 has 320 divisors, whose sum is σ = 184988160. Its totient is φ = 11943936.

The previous prime is 48786181. The next prime is 48786203. The reversal of 48786192 is 29168784.

48786192 is a `hidden beast` number, since 487 + 86 + 1 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (48786181) and next prime (48786203).

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

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 63 ways as a sum of consecutive naturals, for example, 668268 + ... + 668340.

It is an arithmetic number, because the mean of its divisors is an integer number (578088).

Almost surely, 2^48786192 is an apocalyptic number.

48786192 is a gapful number since it is divisible by the number (42) 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 48786192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494080).

48786192 is an abundant number, since it is smaller than the sum of its proper divisors (136201968).

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

48786192 is a wasteful number, since it uses less digits than its factorization.

48786192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 48786192 is about 6984.7113039839. The cubic root of 48786192 is about 365.3975576909.

The spelling of 48786192 in words is "forty-eight million, seven hundred eighty-six thousand, one hundred ninety-two".