40005248 has 32 divisors (see below), whose sum is σ = 81215460. Its totient is φ = 19621888.

The previous prime is 40005227. The next prime is 40005269. The reversal of 40005248 is 84250004.

It is an interprime number because it is at equal distance from previous prime (40005227) and next prime (40005269).

It can be written as a sum of positive squares in 2 ways, for example, as 34951744 + 5053504 = 5912^2 + 2248^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3836 + ... + 9732.

Almost surely, 2^40005248 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 40005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40607730).

40005248 is an abundant number, since it is smaller than the sum of its proper divisors (41210212).

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

40005248 is an equidigital number, since it uses as much as digits as its factorization.

40005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 40005248 is about 6324.9701975582. The cubic root of 40005248 is about 342.0101452709.

The spelling of 40005248 in words is "forty million, five thousand, two hundred forty-eight".