41182848 has 96 divisors (see below), whose sum is σ = 135464160. Its totient is φ = 11764224.

The previous prime is 41182837. The next prime is 41182853. The reversal of 41182848 is 84828114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×41182848² = 3392053938782208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5511 + ... + 10617.

It is an arithmetic number, because the mean of its divisors is an integer number (1411085).

Almost surely, 2^41182848 is an apocalyptic number.

41182848 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 41182848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67732080).

41182848 is an abundant number, since it is smaller than the sum of its proper divisors (94281312).

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

41182848 is a wasteful number, since it uses less digits than its factorization.

41182848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5119 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 41182848 is about 6417.3863838793. The cubic root of 41182848 is about 345.3335652253. Note that the first 3 decimals are identical.

The spelling of 41182848 in words is "forty-one million, one hundred eighty-two thousand, eight hundred forty-eight".