47743488 has 120 divisors (see below), whose sum is σ = 148576428. Its totient is φ = 14671872.

The previous prime is 47743481. The next prime is 47743489. The reversal of 47743488 is 88434774.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 1937664 = 6768^2 + 1392^2 .

It is a super-2 number, since 2×47743488² = 4558881292812288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47743481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59506 + ... + 60302.

Almost surely, 2^47743488 is an apocalyptic number.

47743488 is a gapful number since it is divisible by the number (48) 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 47743488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74288214).

47743488 is an abundant number, since it is smaller than the sum of its proper divisors (100832940).

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

47743488 is a wasteful number, since it uses less digits than its factorization.

47743488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 815 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 47743488 is about 6909.6662726936. Note that the first 3 decimals coincide. The cubic root of 47743488 is about 362.7755824352.

The spelling of 47743488 in words is "forty-seven million, seven hundred forty-three thousand, four hundred eighty-eight".