47487648 has 72 divisors (see below), whose sum is σ = 135027648. Its totient is φ = 14606592.

The previous prime is 47487599. The next prime is 47487653. The reversal of 47487648 is 84678474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 47487597 and 47487606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14761 + ... + 17687.

It is an arithmetic number, because the mean of its divisors is an integer number (1875384).

Almost surely, 2^47487648 is an apocalyptic number.

47487648 is a gapful number since it is divisible by the number (48) 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 47487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67513824).

47487648 is an abundant number, since it is smaller than the sum of its proper divisors (87540000).

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

47487648 is a wasteful number, since it uses less digits than its factorization.

47487648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2945 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 48.

The square root of 47487648 is about 6891.1282095169. The cubic root of 47487648 is about 362.1264273564.

The spelling of 47487648 in words is "forty-seven million, four hundred eighty-seven thousand, six hundred forty-eight".