42840252 has 120 divisors (see below), whose sum is σ = 137932256. Its totient is φ = 11290752.

The previous prime is 42840251. The next prime is 42840253. The reversal of 42840252 is 25204824.

It is a happy number.

42840252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42840251) and next prime (42840253).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42840251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28758 + ... + 30210.

Almost surely, 2^42840252 is an apocalyptic number.

42840252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42840252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68966128).

42840252 is an abundant number, since it is smaller than the sum of its proper divisors (95092004).

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

42840252 is a wasteful number, since it uses less digits than its factorization.

42840252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42840252 is about 6545.2465194216. The cubic root of 42840252 is about 349.9054220642.

The spelling of 42840252 in words is "forty-two million, eight hundred forty thousand, two hundred fifty-two".