42801948 has 72 divisors (see below), whose sum is σ = 127662080. Its totient is φ = 11832480.

The previous prime is 42801947. The next prime is 42801949. The reversal of 42801948 is 84910824.

It is an interprime number because it is at equal distance from previous prime (42801947) and next prime (42801949).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42801947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5073 + ... + 10551.

Almost surely, 2^42801948 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 42801948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63831040).

42801948 is an abundant number, since it is smaller than the sum of its proper divisors (84860132).

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

42801948 is a wasteful number, since it uses less digits than its factorization.

42801948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5527 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 42801948 is about 6542.3197720686. The cubic root of 42801948 is about 349.8011060439.

The spelling of 42801948 in words is "forty-two million, eight hundred one thousand, nine hundred forty-eight".