47685792 has 96 divisors (see below), whose sum is σ = 156086784. Its totient is φ = 12384000.

The previous prime is 47685769. The next prime is 47685793. The reversal of 47685792 is 29758674.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (47685793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167 + ... + 10617.

It is an arithmetic number, because the mean of its divisors is an integer number (1625904).

Almost surely, 2^47685792 is an apocalyptic number.

47685792 is a gapful number since it is divisible by the number (42) 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 47685792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78043392).

47685792 is an abundant number, since it is smaller than the sum of its proper divisors (108400992).

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

47685792 is a wasteful number, since it uses less digits than its factorization.

47685792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6474 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 47685792 is about 6905.4899898559. The cubic root of 47685792 is about 362.6293905123.

It can be divided in two parts, 476 and 85792, that added together give a palindrome (86268).

The spelling of 47685792 in words is "forty-seven million, six hundred eighty-five thousand, seven hundred ninety-two".