293248 has 32 divisors (see below), whose sum is σ = 612000. Its totient is φ = 139776.

The previous prime is 293221. The next prime is 293257. The reversal of 293248 is 842392.

293248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

293248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3673 + ... + 3751.

It is an arithmetic number, because the mean of its divisors is an integer number (19125).

2²⁹³²⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306000).

293248 is an abundant number, since it is smaller than the sum of its proper divisors (318752).

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

293248 is an equidigital number, since it uses as much as digits as its factorization.

293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 293248 is about 541.5237760247. The cubic root of 293248 is about 66.4372559105.

The spelling of 293248 in words is "two hundred ninety-three thousand, two hundred forty-eight".