41993000 has 96 divisors (see below), whose sum is σ = 114440040. Its totient is φ = 14380800.

The previous prime is 41992999. The next prime is 41993011. The reversal of 41993000 is 39914.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22791076 + 19201924 = 4774^2 + 4382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48572 + ... + 49428.

Almost surely, 2^41993000 is an apocalyptic number.

41993000 is a gapful number since it is divisible by the number (40) 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 41993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57220020).

41993000 is an abundant number, since it is smaller than the sum of its proper divisors (72447040).

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

41993000 is a wasteful number, since it uses less digits than its factorization.

41993000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 41993000 is about 6480.2006141785. The cubic root of 41993000 is about 347.5833521566.

The spelling of 41993000 in words is "forty-one million, nine hundred ninety-three thousand".