47753920 has 56 divisors (see below), whose sum is σ = 115214400. Its totient is φ = 18849792.

The previous prime is 47753917. The next prime is 47753921. The reversal of 47753920 is 2935774.

It is a super-3 number, since 3×47753920³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47753920.

It is not an unprimeable number, because it can be changed into a prime (47753921) 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 7 ways as a sum of consecutive naturals, for example, 24336 + ... + 26224.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^47753920 is an apocalyptic number.

47753920 is a gapful number since it is divisible by the number (40) 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 47753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607200).

47753920 is an abundant number, since it is smaller than the sum of its proper divisors (67460480).

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

47753920 is a wasteful number, since it uses less digits than its factorization.

47753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 47753920 is about 6910.4211159668. The cubic root of 47753920 is about 362.8020027872.

The spelling of 47753920 in words is "forty-seven million, seven hundred fifty-three thousand, nine hundred twenty".