42508544 has 72 divisors (see below), whose sum is σ = 93488472. Its totient is φ = 19169280.

The previous prime is 42508537. The next prime is 42508559. The reversal of 42508544 is 44580524.

It can be written as a sum of positive squares in 4 ways, for example, as 7840000 + 34668544 = 2800^2 + 5888^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42508544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176264 + ... + 176504.

It is an arithmetic number, because the mean of its divisors is an integer number (1298451).

Almost surely, 2^42508544 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 42508544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46744236).

42508544 is an abundant number, since it is smaller than the sum of its proper divisors (50979928).

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

42508544 is a wasteful number, since it uses less digits than its factorization.

42508544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 42508544 is about 6519.8576671581. The cubic root of 42508544 is about 348.9999863165. Note that the first 4 decimals are identical.

The spelling of 42508544 in words is "forty-two million, five hundred eight thousand, five hundred forty-four".