52038624 has 48 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 15768960.

The previous prime is 52038619. The next prime is 52038629. The reversal of 52038624 is 42683025.

It is an interprime number because it is at equal distance from previous prime (52038619) and next prime (52038629).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 52038591 and 52038600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52038629) 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 7 ways as a sum of consecutive naturals, for example, 23584 + ... + 25695.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 2^52038624 is an apocalyptic number.

It is an amenable number.

52038624 is an abundant number, since it is smaller than the sum of its proper divisors (96984096).

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

52038624 is a wasteful number, since it uses less digits than its factorization.

52038624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49303 (or 49295 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 52038624 is about 7213.7801463588. The cubic root of 52038624 is about 373.3435059586.

The spelling of 52038624 in words is "fifty-two million, thirty-eight thousand, six hundred twenty-four".