40825248 has 48 divisors (see below), whose sum is σ = 107755200. Its totient is φ = 13533696.

The previous prime is 40825247. The next prime is 40825249. The reversal of 40825248 is 84252804.

It is a happy number.

40825248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40825247) and next prime (40825249).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (40825241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18036 + ... + 20172.

It is an arithmetic number, because the mean of its divisors is an integer number (2244900).

Almost surely, 2^40825248 is an apocalyptic number.

40825248 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 40825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53877600).

40825248 is an abundant number, since it is smaller than the sum of its proper divisors (66929952).

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

40825248 is a wasteful number, since it uses less digits than its factorization.

40825248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 40825248 is about 6389.4638272706. The cubic root of 40825248 is about 344.3311215907.

The spelling of 40825248 in words is "forty million, eight hundred twenty-five thousand, two hundred forty-eight".