47648340 has 72 divisors (see below), whose sum is σ = 146076840. Its totient is φ = 12570624.

The previous prime is 47648339. The next prime is 47648347. The reversal of 47648340 is 4384674.

47648340 is a `hidden beast` number, since 4 + 7 + 648 + 3 + 4 + 0 = 666.

47648340 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 4 ways, for example, as 14884164 + 32764176 = 3858^2 + 5724^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47648295 and 47648304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47648347) 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, 16096 + ... + 18824.

It is an arithmetic number, because the mean of its divisors is an integer number (2028845).

Almost surely, 2^47648340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47648340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73038420).

47648340 is an abundant number, since it is smaller than the sum of its proper divisors (98428500).

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

47648340 is a wasteful number, since it uses less digits than its factorization.

47648340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 47648340 is about 6902.7777017662. Note that the first 4 decimals coincide. The cubic root of 47648340 is about 362.5344303405.

The spelling of 47648340 in words is "forty-seven million, six hundred forty-eight thousand, three hundred forty".