47676048 has 80 divisors (see below), whose sum is σ = 143800320. Its totient is φ = 13327488.

The previous prime is 47676043. The next prime is 47676059. The reversal of 47676048 is 84067674.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (47676043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14283 + ... + 17301.

It is an arithmetic number, because the mean of its divisors is an integer number (1797504).

Almost surely, 2^47676048 is an apocalyptic number.

47676048 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 47676048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71900160).

47676048 is an abundant number, since it is smaller than the sum of its proper divisors (96124272).

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

47676048 is a wasteful number, since it uses less digits than its factorization.

47676048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 47676048 is about 6904.7844282063. The cubic root of 47676048 is about 362.6046892240.

The spelling of 47676048 in words is "forty-seven million, six hundred seventy-six thousand, forty-eight".