47903520 has 192 divisors, whose sum is σ = 176359680. Its totient is φ = 10702848.

The previous prime is 47903519. The next prime is 47903551. The reversal of 47903520 is 2530974.

47903520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 177946 + ... + 178214.

It is an arithmetic number, because the mean of its divisors is an integer number (918540).

Almost surely, 2^47903520 is an apocalyptic number.

47903520 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 47903520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179840).

47903520 is an abundant number, since it is smaller than the sum of its proper divisors (128456160).

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

47903520 is a wasteful number, since it uses less digits than its factorization.

47903520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 47903520 is about 6921.2368836791. The cubic root of 47903520 is about 363.1804610835.

The spelling of 47903520 in words is "forty-seven million, nine hundred three thousand, five hundred twenty".