42241836 has 96 divisors (see below), whose sum is σ = 122830848. Its totient is φ = 11001600.

The previous prime is 42241831. The next prime is 42241841. The reversal of 42241836 is 63814224.

42241836 is a nontrivial binomial coefficient, being equal to C(9192, 2).

It is an interprime number because it is at equal distance from previous prime (42241831) and next prime (42241841).

It is not an unprimeable number, because it can be changed into a prime (42241831) 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 31 ways as a sum of consecutive naturals, for example, 110101 + ... + 110483.

It is an arithmetic number, because the mean of its divisors is an integer number (1279488).

Almost surely, 2^42241836 is an apocalyptic number.

42241836 is the 9191-st triangular number and also the 4596-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42241836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61415424).

42241836 is an abundant number, since it is smaller than the sum of its proper divisors (80589012).

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

42241836 is a wasteful number, since it uses less digits than its factorization.

42241836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42241836 is about 6499.3719696598. The cubic root of 42241836 is about 348.2685534372.

The spelling of 42241836 in words is "forty-two million, two hundred forty-one thousand, eight hundred thirty-six".