47691520 has 144 divisors (see below), whose sum is σ = 125828640. Its totient is φ = 17252352.

The previous prime is 47691499. The next prime is 47691559. The reversal of 47691520 is 2519674.

47691520 = 661² + 662² + ... + 755².

47691520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 899814 + ... + 899866.

It is an arithmetic number, because the mean of its divisors is an integer number (873810).

Almost surely, 2^47691520 is an apocalyptic number.

47691520 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 47691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62914320).

47691520 is an abundant number, since it is smaller than the sum of its proper divisors (78137120).

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

47691520 is a wasteful number, since it uses less digits than its factorization.

47691520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 47691520 is about 6905.9047198756. The cubic root of 47691520 is about 362.6439095678.

The spelling of 47691520 in words is "forty-seven million, six hundred ninety-one thousand, five hundred twenty".