48832146 has 80 divisors (see below), whose sum is σ = 121445280. Its totient is φ = 14541120.

The previous prime is 48832141. The next prime is 48832249. The reversal of 48832146 is 64123884.

48832146 is a `hidden beast` number, since 488 + 32 + 146 = 666.

48832146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48832146.

It is not an unprimeable number, because it can be changed into a prime (48832141) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 119190 + ... + 119598.

It is an arithmetic number, because the mean of its divisors is an integer number (1518066).

Almost surely, 2^48832146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48832146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60722640).

48832146 is an abundant number, since it is smaller than the sum of its proper divisors (72613134).

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

48832146 is a wasteful number, since it uses less digits than its factorization.

48832146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48832146 is about 6988.0001431025. Note that the first 3 decimals coincide. The cubic root of 48832146 is about 365.5122500468.

The spelling of 48832146 in words is "forty-eight million, eight hundred thirty-two thousand, one hundred forty-six".