42824394 has 48 divisors (see below), whose sum is σ = 98771400. Its totient is φ = 13363200.

The previous prime is 42824381. The next prime is 42824407. The reversal of 42824394 is 49342824.

42824394 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 (42824381) and next prime (42824407).

It can be written as a sum of positive squares in 4 ways, for example, as 40793769 + 2030625 = 6387^2 + 1425^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 106594 + ... + 106994.

Almost surely, 2^42824394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42824394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49385700).

42824394 is an abundant number, since it is smaller than the sum of its proper divisors (55947006).

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

42824394 is a wasteful number, since it uses less digits than its factorization.

42824394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 772 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42824394 is about 6544.0349937940. The cubic root of 42824394 is about 349.8622423853.

The spelling of 42824394 in words is "forty-two million, eight hundred twenty-four thousand, three hundred ninety-four".