42508548 has 72 divisors (see below), whose sum is σ = 117062400. Its totient is φ = 12954816.

The previous prime is 42508537. The next prime is 42508559. The reversal of 42508548 is 84580524.

It is a Cunningham number, because it is equal to 349³-1.

It is an interprime number because it is at equal distance from previous prime (42508537) and next prime (42508559).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18765 + ... + 20907.

Almost surely, 2^42508548 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 42508548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58531200).

42508548 is an abundant number, since it is smaller than the sum of its proper divisors (74553852).

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

42508548 is a wasteful number, since it uses less digits than its factorization.

42508548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 42508548 is about 6519.8579739132. The cubic root of 42508548 is about 348.9999972633. Note that the first 5 decimals are identical.

The spelling of 42508548 in words is "forty-two million, five hundred eight thousand, five hundred forty-eight".