48822912 has 160 divisors (see below), whose sum is σ = 154398420. Its totient is φ = 15261696.

The previous prime is 48822881. The next prime is 48822919. The reversal of 48822912 is 21922884.

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 46656 = 6984^2 + 216^2 .

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 (48822919) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176118 + ... + 176394.

Almost surely, 2^48822912 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 48822912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77199210).

48822912 is an abundant number, since it is smaller than the sum of its proper divisors (105575508).

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

48822912 is a wasteful number, since it uses less digits than its factorization.

48822912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 48822912 is about 6987.3394078147. The cubic root of 48822912 is about 365.4892095352.

The spelling of 48822912 in words is "forty-eight million, eight hundred twenty-two thousand, nine hundred twelve".