Search a number
41990400 = 283852

41990400 has 243 divisors, whose sum is σ = 155891281. Its totient is φ = 11197440.

The previous prime is 41990383. The next prime is 41990401. The reversal of 41990400 is 409914.

Multipling 41990400 by its product of nonzero digits (1296), we get a square (54419558400 = 2332802).

41990400 divided by its product of nonzero digits (1296) gives a square (32400 = 1802).

The square root of 41990400 is 6480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15116544 + 26873856 = 3888^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (41990401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8398078 + ... + 8398082.

Almost surely, 241990400 is an apocalyptic number.

41990400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41990400 is the 6480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41990400

41990400 is an abundant number, since it is smaller than the sum of its proper divisors (113900881).

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

41990400 is an frugal number, since it uses more digits than its factorization.

41990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 41990400 is about 347.5761784580.

The spelling of 41990400 in words is "forty-one million, nine hundred ninety thousand, four hundred".