47877312 has 112 divisors (see below), whose sum is σ = 147929600. Its totient is φ = 13660416.

The previous prime is 47877311. The next prime is 47877337. The reversal of 47877312 is 21377874.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (47877311) 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 15 ways as a sum of consecutive naturals, for example, 65493 + ... + 66219.

It is an arithmetic number, because the mean of its divisors is an integer number (1320800).

Almost surely, 2^47877312 is an apocalyptic number.

47877312 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 47877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73964800).

47877312 is an abundant number, since it is smaller than the sum of its proper divisors (100052288).

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

47877312 is an equidigital number, since it uses as much as digits as its factorization.

47877312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 739 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 47877312 is about 6919.3433214432. The cubic root of 47877312 is about 363.1142170311.

47877312 divided by its product of digits (65856) gives a palindrome (727).

The spelling of 47877312 in words is "forty-seven million, eight hundred seventy-seven thousand, three hundred twelve".