47825120 has 48 divisors (see below), whose sum is σ = 129130848. Its totient is φ = 16396800.

The previous prime is 47825117. The next prime is 47825137. The reversal of 47825120 is 2152874.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20231 + ... + 22470.

It is an arithmetic number, because the mean of its divisors is an integer number (2690226).

Almost surely, 2^47825120 is an apocalyptic number.

47825120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47825120 is an abundant number, since it is smaller than the sum of its proper divisors (81305728).

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

47825120 is a wasteful number, since it uses less digits than its factorization.

47825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42723 (or 42715 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 47825120 is about 6915.5708368869. The cubic root of 47825120 is about 362.9822230718.

Adding to 47825120 its reverse (2152874), we get a palindrome (49977994).

The spelling of 47825120 in words is "forty-seven million, eight hundred twenty-five thousand, one hundred twenty".