42622848 has 80 divisors (see below), whose sum is σ = 126875760. Its totient is φ = 14204160.

The previous prime is 42622829. The next prime is 42622873. The reversal of 42622848 is 84822624.

It is a happy number.

42622848 is a `hidden beast` number, since 426 + 228 + 4 + 8 = 666.

It is a super-2 number, since 2×42622848² = 3633414343262208, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 8313 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (1585947).

Almost surely, 2^42622848 is an apocalyptic number.

42622848 is a gapful number since it is divisible by the number (48) 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 42622848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63437880).

42622848 is an abundant number, since it is smaller than the sum of its proper divisors (84252912).

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

42622848 is an equidigital number, since it uses as much as digits as its factorization.

42622848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4116 counting only the distinct ones).

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

The square root of 42622848 is about 6528.6176178422. The cubic root of 42622848 is about 349.3125226355.

The spelling of 42622848 in words is "forty-two million, six hundred twenty-two thousand, eight hundred forty-eight".