48077824 has 44 divisors (see below), whose sum is σ = 99484200. Its totient is φ = 23195648.

The previous prime is 48077767. The next prime is 48077831. The reversal of 48077824 is 42877084.

It is a happy number.

48077824 is nontrivially palindromic in base 15.

It is a super-3 number, since 3×48077824³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3 ways as a sum of consecutive naturals, for example, 28887 + ... + 30505.

Almost surely, 2^48077824 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 48077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49742100).

48077824 is an abundant number, since it is smaller than the sum of its proper divisors (51406376).

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

48077824 is a wasteful number, since it uses less digits than its factorization.

48077824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 48077824 is about 6933.8174189980. The cubic root of 48077824 is about 363.6204230588.

The spelling of 48077824 in words is "forty-eight million, seventy-seven thousand, eight hundred twenty-four".