48765024 has 192 divisors, whose sum is σ = 177569280. Its totient is φ = 12648960.

The previous prime is 48765011. The next prime is 48765029. The reversal of 48765024 is 42056784.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48765024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48765029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66162 + ... + 66894.

It is an arithmetic number, because the mean of its divisors is an integer number (924840).

Almost surely, 2^48765024 is an apocalyptic number.

48765024 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 48765024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88784640).

48765024 is an abundant number, since it is smaller than the sum of its proper divisors (128804256).

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

48765024 is a wasteful number, since it uses less digits than its factorization.

48765024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48765024 is about 6983.1958299907. The cubic root of 48765024 is about 365.3447021995.

The spelling of 48765024 in words is "forty-eight million, seven hundred sixty-five thousand, twenty-four".