48226824 has 144 divisors (see below), whose sum is σ = 146388060. Its totient is φ = 14284800.

The previous prime is 48226823. The next prime is 48226847. The reversal of 48226824 is 42862284.

It is a happy number.

48226824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47361924 + 864900 = 6882^2 + 930^2 .

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 (48226823) 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 35 ways as a sum of consecutive naturals, for example, 1176244 + ... + 1176284.

Almost surely, 2^48226824 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 48226824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73194030).

48226824 is an abundant number, since it is smaller than the sum of its proper divisors (98161236).

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

48226824 is a wasteful number, since it uses less digits than its factorization.

48226824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

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

The square root of 48226824 is about 6944.5535493651. The cubic root of 48226824 is about 363.9956727739.

The spelling of 48226824 in words is "forty-eight million, two hundred twenty-six thousand, eight hundred twenty-four".