48861312 has 128 divisors (see below), whose sum is σ = 141086400. Its totient is φ = 14929920.

The previous prime is 48861311. The next prime is 48861347. The reversal of 48861312 is 21316884.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×48861312² = 4774855620722688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48861311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269862 + ... + 270042.

Almost surely, 2^48861312 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 48861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70543200).

48861312 is an abundant number, since it is smaller than the sum of its proper divisors (92225088).

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

48861312 is a wasteful number, since it uses less digits than its factorization.

48861312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 48861312 is about 6990.0866947413. The cubic root of 48861312 is about 365.5850054580.

The spelling of 48861312 in words is "forty-eight million, eight hundred sixty-one thousand, three hundred twelve".