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41241816 = 233271143173
BaseRepresentation
bin1001110101010…
…0110011011000
32212121022010200
42131110303120
541024214231
64031542200
71010356350
oct235246330
985538120
1041241816
1121309650
121198a960
13870cb55
145697b60
153949be6
hex2754cd8

41241816 has 192 divisors, whose sum is σ = 143320320. Its totient is φ = 10402560.

The previous prime is 41241803. The next prime is 41241877. The reversal of 41241816 is 61814214.

It is a happy number.

41241816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41241816.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 238306 + ... + 238478.

It is an arithmetic number, because the mean of its divisors is an integer number (746460).

Almost surely, 241241816 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 41241816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71660160).

41241816 is an abundant number, since it is smaller than the sum of its proper divisors (102078504).

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

41241816 is a wasteful number, since it uses less digits than its factorization.

41241816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 41241816 is about 6421.9791341922. The cubic root of 41241816 is about 345.4983095231.

The spelling of 41241816 in words is "forty-one million, two hundred forty-one thousand, eight hundred sixteen".