48441624 has 96 divisors (see below), whose sum is σ = 152194560. Its totient is φ = 12576960.

The previous prime is 48441593. The next prime is 48441643. The reversal of 48441624 is 42614484.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 19137 + ... + 21519.

It is an arithmetic number, because the mean of its divisors is an integer number (1585360).

Almost surely, 2^48441624 is an apocalyptic number.

48441624 is a gapful number since it is divisible by the number (44) 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 48441624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76097280).

48441624 is an abundant number, since it is smaller than the sum of its proper divisors (103752936).

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

48441624 is a wasteful number, since it uses less digits than its factorization.

48441624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2406 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 48441624 is about 6960.0017241377. The cubic root of 48441624 is about 364.5352789591.

The spelling of 48441624 in words is "forty-eight million, four hundred forty-one thousand, six hundred twenty-four".