48843312 has 120 divisors (see below), whose sum is σ = 153490176. Its totient is φ = 13108224.

The previous prime is 48843299. The next prime is 48843317. The reversal of 48843312 is 21334884.

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 (48843317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 96853 + ... + 97355.

Almost surely, 2^48843312 is an apocalyptic number.

48843312 is a gapful number since it is divisible by the number (42) 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 48843312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76745088).

48843312 is an abundant number, since it is smaller than the sum of its proper divisors (104646864).

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

48843312 is a wasteful number, since it uses less digits than its factorization.

48843312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 532 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 48843312 is about 6988.7990384615. The cubic root of 48843312 is about 365.5401073709.

The spelling of 48843312 in words is "forty-eight million, eight hundred forty-three thousand, three hundred twelve".