41233248 has 144 divisors (see below), whose sum is σ = 135940896. Its totient is φ = 11612160.

The previous prime is 41233243. The next prime is 41233253. The reversal of 41233248 is 84233214.

41233248 is a `hidden beast` number, since 412 + 3 + 3 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (41233243) and next prime (41233253).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41233243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227718 + ... + 227898.

It is an arithmetic number, because the mean of its divisors is an integer number (944034).

Almost surely, 2^41233248 is an apocalyptic number.

41233248 is a gapful number since it is divisible by the number (48) 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 41233248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970448).

41233248 is an abundant number, since it is smaller than the sum of its proper divisors (94707648).

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

41233248 is a wasteful number, since it uses less digits than its factorization.

41233248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 41233248 is about 6421.3120154685. The cubic root of 41233248 is about 345.4743820725.

It can be divided in two parts, 41 and 233248, that added together give a square (233289 = 483²).

The spelling of 41233248 in words is "forty-one million, two hundred thirty-three thousand, two hundred forty-eight".