48107520 has 260 divisors, whose sum is σ = 178399980. Its totient is φ = 12386304.

The previous prime is 48107519. The next prime is 48107537. The reversal of 48107520 is 2570184.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 26873856 = 4608^2 + 5184^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658866 + ... + 1658894.

Almost surely, 2^48107520 is an apocalyptic number.

48107520 is a gapful number since it is divisible by the number (40) 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 48107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89199990).

48107520 is an abundant number, since it is smaller than the sum of its proper divisors (130292460).

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

48107520 is an equidigital number, since it uses as much as digits as its factorization.

48107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 48107520 is about 6935.9584773844. The cubic root of 48107520 is about 363.6952728804.

The spelling of 48107520 in words is "forty-eight million, one hundred seven thousand, five hundred twenty".