48006144 has 66 divisors (see below), whose sum is σ = 138643310. Its totient is φ = 15998976.

The previous prime is 48006097. The next prime is 48006151. The reversal of 48006144 is 44160084.

48006144 is a `hidden beast` number, since 48 + 0 + 0 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 230400 = 6912^2 + 480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6612 + ... + 11820.

Almost surely, 2^48006144 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 48006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69321655).

48006144 is an abundant number, since it is smaller than the sum of its proper divisors (90637166).

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

48006144 is a wasteful number, since it uses less digits than its factorization.

48006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48006144 is about 6928.6466210942. The cubic root of 48006144 is about 363.4396240006.

The spelling of 48006144 in words is "forty-eight million, six thousand, one hundred forty-four".