47625800 has 48 divisors (see below), whose sum is σ = 112844340. Its totient is φ = 18686720.

The previous prime is 47625797. The next prime is 47625821. The reversal of 47625800 is 852674.

47625800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 38613796 + 9012004 = 6214^2 + 3002^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8354 + ... + 12846.

Almost surely, 2^47625800 is an apocalyptic number.

47625800 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 47625800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56422170).

47625800 is an abundant number, since it is smaller than the sum of its proper divisors (65218540).

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

47625800 is a wasteful number, since it uses less digits than its factorization.

47625800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 47625800 is about 6901.1448325622. The cubic root of 47625800 is about 362.4772558065.

The spelling of 47625800 in words is "forty-seven million, six hundred twenty-five thousand, eight hundred".