47825220 has 96 divisors (see below), whose sum is σ = 138741120. Its totient is φ = 12303360.

The previous prime is 47825189. The next prime is 47825221. The reversal of 47825220 is 2252874.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (47825221) 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 31 ways as a sum of consecutive naturals, for example, 267091 + ... + 267269.

It is an arithmetic number, because the mean of its divisors is an integer number (1445220).

Almost surely, 2^47825220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47825220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69370560).

47825220 is an abundant number, since it is smaller than the sum of its proper divisors (90915900).

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

47825220 is a wasteful number, since it uses less digits than its factorization.

47825220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 47825220 is about 6915.5780669442. The cubic root of 47825220 is about 362.9824760644.

The spelling of 47825220 in words is "forty-seven million, eight hundred twenty-five thousand, two hundred twenty".