42826824 has 48 divisors (see below), whose sum is σ = 116672400. Its totient is φ = 14191584.

The previous prime is 42826811. The next prime is 42826829. The reversal of 42826824 is 42862824.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42826829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11227 + ... + 14549.

It is an arithmetic number, because the mean of its divisors is an integer number (2430675).

Almost surely, 2^42826824 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 42826824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58336200).

42826824 is an abundant number, since it is smaller than the sum of its proper divisors (73845576).

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

42826824 is a wasteful number, since it uses less digits than its factorization.

42826824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3507 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42826824 is about 6544.2206564266. The cubic root of 42826824 is about 349.8688597132.

The spelling of 42826824 in words is "forty-two million, eight hundred twenty-six thousand, eight hundred twenty-four".