47625000 has 112 divisors (see below), whose sum is σ = 149998080. Its totient is φ = 12600000.

The previous prime is 47624971. The next prime is 47625029. The reversal of 47625000 is 52674.

It is a happy number.

47625000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47624971) and next prime (47625029).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 27 ways as a sum of consecutive naturals, for example, 374937 + ... + 375063.

Almost surely, 2^47625000 is an apocalyptic number.

47625000 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 47625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74999040).

47625000 is an abundant number, since it is smaller than the sum of its proper divisors (102373080).

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

47625000 is an equidigital number, since it uses as much as digits as its factorization.

47625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 47625000 is about 6901.0868709211. The cubic root of 47625000 is about 362.4752262103.

Adding to 47625000 its reverse (52674), we get a palindrome (47677674).

The spelling of 47625000 in words is "forty-seven million, six hundred twenty-five thousand".