47782560 has 96 divisors (see below), whose sum is σ = 172029312. Its totient is φ = 10920960.

The previous prime is 47782543. The next prime is 47782601. The reversal of 47782560 is 6528774.

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

It is an unprimeable number.

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, 3751 + ... + 10470.

It is an arithmetic number, because the mean of its divisors is an integer number (1791972).

Almost surely, 2^47782560 is an apocalyptic number.

47782560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47782560 is an abundant number, since it is smaller than the sum of its proper divisors (124246752).

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

47782560 is a wasteful number, since it uses less digits than its factorization.

47782560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14246 (or 14238 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 47782560 is about 6912.4930379712. The cubic root of 47782560 is about 362.8745174123.

The spelling of 47782560 in words is "forty-seven million, seven hundred eighty-two thousand, five hundred sixty".