47315840 has 192 divisors, whose sum is σ = 136745280. Its totient is φ = 15544320.

The previous prime is 47315837. The next prime is 47315843. The reversal of 47315840 is 4851374.

47315840 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 (47315837) and next prime (47315843).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 47315797 and 47315806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47315843) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1006697 + ... + 1006743.

It is an arithmetic number, because the mean of its divisors is an integer number (712215).

Almost surely, 2^47315840 is an apocalyptic number.

47315840 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 47315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640).

47315840 is an abundant number, since it is smaller than the sum of its proper divisors (89429440).

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

47315840 is a wasteful number, since it uses less digits than its factorization.

47315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

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

The square root of 47315840 is about 6878.6510305437. The cubic root of 47315840 is about 361.6891810213.

The spelling of 47315840 in words is "forty-seven million, three hundred fifteen thousand, eight hundred forty".