48593800 has 48 divisors (see below), whose sum is σ = 113580900. Its totient is φ = 19334400.

The previous prime is 48593791. The next prime is 48593801. The reversal of 48593800 is 839584.

It can be written as a sum of positive squares in 6 ways, for example, as 33709636 + 14884164 = 5806^2 + 3858^2 .

It is a super-2 number, since 2×48593800² = 4722714796880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48593800.

It is not an unprimeable number, because it can be changed into a prime (48593801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45270 + ... + 46330.

Almost surely, 2^48593800 is an apocalyptic number.

48593800 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 48593800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56790450).

48593800 is an abundant number, since it is smaller than the sum of its proper divisors (64987100).

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

48593800 is a wasteful number, since it uses less digits than its factorization.

48593800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 48593800 is about 6970.9253331247. The cubic root of 48593800 is about 364.9166006990.

The spelling of 48593800 in words is "forty-eight million, five hundred ninety-three thousand, eight hundred".