48673856 has 168 divisors, whose sum is σ = 131344416. Its totient is φ = 17633280.

The previous prime is 48673853. The next prime is 48673871. The reversal of 48673856 is 65837684.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

Its product of digits (967680) is a multiple of the sum of its prime divisors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 48673856.

It is not an unprimeable number, because it can be changed into a prime (48673853) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 586391 + ... + 586473.

It is an arithmetic number, because the mean of its divisors is an integer number (781812).

Almost surely, 2^48673856 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 48673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65672208).

48673856 is an abundant number, since it is smaller than the sum of its proper divisors (82670560).

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

48673856 is a wasteful number, since it uses less digits than its factorization.

48673856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 48673856 is about 6976.6651059084. The cubic root of 48673856 is about 365.1168850651.

The spelling of 48673856 in words is "forty-eight million, six hundred seventy-three thousand, eight hundred fifty-six".