48033856 has 42 divisors (see below), whose sum is σ = 103236522. Its totient is φ = 22164480.

The previous prime is 48033833. The next prime is 48033863. The reversal of 48033856 is 65833084.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 47886400 = 384^2 + 6920^2 .

It is a super-3 number, since 3×48033856³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 8596 + ... + 13036.

Almost surely, 2^48033856 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 48033856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51618261).

48033856 is an abundant number, since it is smaller than the sum of its proper divisors (55202666).

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

48033856 is a wasteful number, since it uses less digits than its factorization.

48033856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 48033856 is about 6930.6461459232. The cubic root of 48033856 is about 363.5095435335.

The spelling of 48033856 in words is "forty-eight million, thirty-three thousand, eight hundred fifty-six".