47904048 has 120 divisors (see below), whose sum is σ = 143063760. Its totient is φ = 15536448.

The previous prime is 47904023. The next prime is 47904049. The reversal of 47904048 is 84040974.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (47904049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1294686 + ... + 1294722.

It is an arithmetic number, because the mean of its divisors is an integer number (1192198).

Almost surely, 2^47904048 is an apocalyptic number.

47904048 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 47904048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71531880).

47904048 is an abundant number, since it is smaller than the sum of its proper divisors (95159712).

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

47904048 is an frugal number, since it uses more digits than its factorization.

47904048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47904048 is about 6921.2750270452. The cubic root of 47904048 is about 363.1817954223.

The spelling of 47904048 in words is "forty-seven million, nine hundred four thousand, forty-eight".