52481952 has 192 divisors, whose sum is σ = 169344000. Its totient is φ = 15738624.

The previous prime is 52481951. The next prime is 52481959. The reversal of 52481952 is 25918425.

52481952 is a `hidden beast` number, since 524 + 81 + 9 + 52 = 666.

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

Its product of digits (28800) is a multiple of the sum of its prime factors (200).

It is not an unprimeable number, because it can be changed into a prime (52481951) 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 31 ways as a sum of consecutive naturals, for example, 377499 + ... + 377637.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 2^52481952 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 52481952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

52481952 is an abundant number, since it is smaller than the sum of its proper divisors (116862048).

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

52481952 is a wasteful number, since it uses less digits than its factorization.

52481952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 52481952 is about 7244.4428357190. The cubic root of 52481952 is about 374.4007067705.

The spelling of 52481952 in words is "fifty-two million, four hundred eighty-one thousand, nine hundred fifty-two".