48982000 has 80 divisors (see below), whose sum is σ = 124768800. Its totient is φ = 18547200.

The previous prime is 48981991. The next prime is 48982001. The reversal of 48982000 is 28984.

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

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48982001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37356 + ... + 38644.

It is an arithmetic number, because the mean of its divisors is an integer number (1559610).

Almost surely, 2^48982000 is an apocalyptic number.

48982000 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 48982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62384400).

48982000 is an abundant number, since it is smaller than the sum of its proper divisors (75786800).

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

48982000 is a wasteful number, since it uses less digits than its factorization.

48982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 48982000 is about 6998.7141676168. The cubic root of 48982000 is about 365.8857576895.

The spelling of 48982000 in words is "forty-eight million, nine hundred eighty-two thousand".