48682000 has 80 divisors (see below), whose sum is σ = 119371824. Its totient is φ = 19200000.

The previous prime is 48681979. The next prime is 48682013. The reversal of 48682000 is 28684.

It can be written as a sum of positive squares in 8 ways, for example, as 1567504 + 47114496 = 1252^2 + 6864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 48682000.

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 15 ways as a sum of consecutive naturals, for example, 201880 + ... + 202120.

Almost surely, 2^48682000 is an apocalyptic number.

48682000 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 48682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59685912).

48682000 is an abundant number, since it is smaller than the sum of its proper divisors (70689824).

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

48682000 is a wasteful number, since it uses less digits than its factorization.

48682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 48682000 is about 6977.2487414453. The cubic root of 48682000 is about 365.1372474412.

The spelling of 48682000 in words is "forty-eight million, six hundred eighty-two thousand".