201282048 has 270 divisors, whose sum is σ = 673900227. Its totient is φ = 57784320.

The previous prime is 201282031. The next prime is 201282073. The reversal of 201282048 is 840282102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

201282048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 100641024 + 100641024 = 10032^2 + 10032^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10032.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10593783 + ... + 10593801.

Almost surely, 2^201282048 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 201282048

201282048 is an abundant number, since it is smaller than the sum of its proper divisors (472618179).

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

201282048 is a wasteful number, since it uses less digits than its factorization.

201282048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 201282048 is about 14187.3904577269. The cubic root of 201282048 is about 586.0504641123.

Multiplying 201282048 by its product of nonzero digits (2048), we get a square (412225634304 = 642048²).

The spelling of 201282048 in words is "two hundred one million, two hundred eighty-two thousand, forty-eight".