48042576 has 120 divisors (see below), whose sum is σ = 141133824. Its totient is φ = 15240960.

The previous prime is 48042571. The next prime is 48042637. The reversal of 48042576 is 67524084.

48042576 is a `hidden beast` number, since 4 + 80 + 4 + 2 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48042576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48042571) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 378225 + ... + 378351.

Almost surely, 2^48042576 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 48042576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70566912).

48042576 is an abundant number, since it is smaller than the sum of its proper divisors (93091248).

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

48042576 is a wasteful number, since it uses less digits than its factorization.

48042576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48042576 is about 6931.2752073482. The cubic root of 48042576 is about 363.5315392097.

The spelling of 48042576 in words is "forty-eight million, forty-two thousand, five hundred seventy-six".