48065000 has 40 divisors (see below), whose sum is σ = 112628010. Its totient is φ = 19224000.

The previous prime is 48064993. The next prime is 48065021. The reversal of 48065000 is 56084.

It can be written as a sum of positive squares in 5 ways, for example, as 9897316 + 38167684 = 3146^2 + 6178^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×48065000³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 194 + ... + 9806.

Almost surely, 2^48065000 is an apocalyptic number.

48065000 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 48065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56314005).

48065000 is an abundant number, since it is smaller than the sum of its proper divisors (64563010).

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

48065000 is an equidigital number, since it uses as much as digits as its factorization.

48065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9639 (or 9620 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 48065000 is about 6932.8926141979. The cubic root of 48065000 is about 363.5880901828.

The spelling of 48065000 in words is "forty-eight million, sixty-five thousand".