48338000 has 40 divisors (see below), whose sum is σ = 116886120. Its totient is φ = 19334400.

The previous prime is 48337997. The next prime is 48338011. The reversal of 48338000 is 83384.

It can be written as a sum of positive squares in 4 ways, for example, as 506944 + 47831056 = 712^2 + 6916^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10085 + ... + 14084.

It is an arithmetic number, because the mean of its divisors is an integer number (2922153).

Almost surely, 2^48338000 is an apocalyptic number.

48338000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48338000 is an abundant number, since it is smaller than the sum of its proper divisors (68548120).

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

48338000 is a wasteful number, since it uses less digits than its factorization.

48338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24192 (or 24176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 48338000 is about 6952.5534877482. The cubic root of 48338000 is about 364.2751612622.

It can be divided in two parts, 483 and 38000, that added together give a palindrome (38483).

The spelling of 48338000 in words is "forty-eight million, three hundred thirty-eight thousand".