47729646 has 48 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 14723280.

The previous prime is 47729641. The next prime is 47729711. The reversal of 47729646 is 64692774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47729641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10975 + ... + 14693.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 2^47729646 is an apocalyptic number.

47729646 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 47729646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

47729646 is an abundant number, since it is smaller than the sum of its proper divisors (63691794).

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

47729646 is a wasteful number, since it uses less digits than its factorization.

47729646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3778 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 47729646 is about 6908.6645598118. The cubic root of 47729646 is about 362.7405198875.

The spelling of 47729646 in words is "forty-seven million, seven hundred twenty-nine thousand, six hundred forty-six".