52538976 has 288 divisors, whose sum is σ = 191328480. Its totient is φ = 13934592.

The previous prime is 52538963. The next prime is 52538977. The reversal of 52538976 is 67983525.

It is a happy number.

52538976 is a `hidden beast` number, since 525 + 38 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52538977) 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 47 ways as a sum of consecutive naturals, for example, 719676 + ... + 719748.

It is an arithmetic number, because the mean of its divisors is an integer number (664335).

Almost surely, 2^52538976 is an apocalyptic number.

52538976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52538976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95664240).

52538976 is an abundant number, since it is smaller than the sum of its proper divisors (138789504).

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

52538976 is a wasteful number, since it uses less digits than its factorization.

52538976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 52538976 is about 7248.3774736144. The cubic root of 52538976 is about 374.5362587539.

The spelling of 52538976 in words is "fifty-two million, five hundred thirty-eight thousand, nine hundred seventy-six".