41904288 has 36 divisors (see below), whose sum is σ = 119166138. Its totient is φ = 13968000.

The previous prime is 41904259. The next prime is 41904299. The reversal of 41904288 is 88240914.

41904288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29030544 + 12873744 = 5388^2 + 3588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 72463 + ... + 73038.

Almost surely, 2^41904288 is an apocalyptic number.

41904288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41904288 is an abundant number, since it is smaller than the sum of its proper divisors (77261850).

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

41904288 is a wasteful number, since it uses less digits than its factorization.

41904288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145517 (or 145506 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 41904288 is about 6473.3521455271. The cubic root of 41904288 is about 347.3384180553.

The spelling of 41904288 in words is "forty-one million, nine hundred four thousand, two hundred eighty-eight".