47696544 has 144 divisors (see below), whose sum is σ = 158034240. Its totient is φ = 13363200.

The previous prime is 47696533. The next prime is 47696567. The reversal of 47696544 is 44569674.

47696544 is a `hidden beast` number, since 47 + 69 + 6 + 544 = 666.

47696544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 47696544.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 118744 + ... + 119144.

It is an arithmetic number, because the mean of its divisors is an integer number (1097460).

Almost surely, 2^47696544 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 47696544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79017120).

47696544 is an abundant number, since it is smaller than the sum of its proper divisors (110337696).

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

47696544 is a wasteful number, since it uses less digits than its factorization.

47696544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 47696544 is about 6906.2684569889. The cubic root of 47696544 is about 362.6566432014.

It can be divided in two parts, 476 and 96544, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 47696544 in words is "forty-seven million, six hundred ninety-six thousand, five hundred forty-four".