42824130 has 64 divisors (see below), whose sum is σ = 106634880. Its totient is φ = 10999296.

The previous prime is 42824107. The next prime is 42824149. The reversal of 42824130 is 3142824.

42824130 = 411² + 412² + ... + 582².

It is a super-2 number, since 2×42824130² = 3667812220513800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42824130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114624 + ... + 114996.

It is an arithmetic number, because the mean of its divisors is an integer number (1666170).

Almost surely, 2^42824130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42824130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53317440).

42824130 is an abundant number, since it is smaller than the sum of its proper divisors (63810750).

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

42824130 is a wasteful number, since it uses less digits than its factorization.

42824130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42824130 is about 6544.0148227216. The cubic root of 42824130 is about 349.8615234506.

Adding to 42824130 its reverse (3142824), we get a palindrome (45966954).

The spelling of 42824130 in words is "forty-two million, eight hundred twenty-four thousand, one hundred thirty".