8100048 has 120 divisors (see below), whose sum is σ = 24685920. Its totient is φ = 2266880.

The previous prime is 8099999. The next prime is 8100073. The reversal of 8100048 is 8400018.

8100048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8100048² = 131221555204608, which contains 22 as substring.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 8099997 and 8100033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279298 + ... + 279326.

It is an arithmetic number, because the mean of its divisors is an integer number (205716).

Almost surely, 2^8100048 is an apocalyptic number.

8100048 is a gapful number since it is divisible by the number (88) 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 8100048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342960).

8100048 is an abundant number, since it is smaller than the sum of its proper divisors (16585872).

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

8100048 is a wasteful number, since it uses less digits than its factorization.

8100048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8100048 is about 2846.0583268795. The cubic root of 8100048 is about 200.8302817249.

The spelling of 8100048 in words is "eight million, one hundred thousand, forty-eight".