47736546 has 128 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 12249600.

The previous prime is 47736541. The next prime is 47736547. The reversal of 47736546 is 64563774.

It is a happy number.

47736546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 47736498 and 47736507.

It is not an unprimeable number, because it can be changed into a prime (47736541) 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 63 ways as a sum of consecutive naturals, for example, 809065 + ... + 809123.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^47736546 is an apocalyptic number.

47736546 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47736546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

47736546 is an abundant number, since it is smaller than the sum of its proper divisors (74191134).

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

47736546 is a wasteful number, since it uses less digits than its factorization.

47736546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its digits is 423360, while the sum is 42.

The square root of 47736546 is about 6909.1639146861. The cubic root of 47736546 is about 362.7579988145.

The spelling of 47736546 in words is "forty-seven million, seven hundred thirty-six thousand, five hundred forty-six".