47787744 has 72 divisors (see below), whose sum is σ = 131273352. Its totient is φ = 15220480.

The previous prime is 47787743. The next prime is 47787787. The reversal of 47787744 is 44778774.

47787744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 47787693 and 47787702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47787743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50314 + ... + 51254.

It is an arithmetic number, because the mean of its divisors is an integer number (1823241).

Almost surely, 2^47787744 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 47787744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65636676).

47787744 is an abundant number, since it is smaller than the sum of its proper divisors (83485608).

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

47787744 is a wasteful number, since it uses less digits than its factorization.

47787744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 969 counting only the distinct ones).

The product of its digits is 1229312, while the sum is 48.

The square root of 47787744 is about 6912.8680010543. The cubic root of 47787744 is about 362.8876398673.

It can be divided in two parts, 47787 and 744, that multiplied together give a triangular number (35553528 = T₈₄₃₂).

The spelling of 47787744 in words is "forty-seven million, seven hundred eighty-seven thousand, seven hundred forty-four".