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41114976 = 2537175961
BaseRepresentation
bin1001110011010…
…1110101100000
32212100212010220
42130311311200
541011134401
64025123040
71006320510
oct234656540
985325126
1041114976
1121232321
1211929480
1386971b6
145663840
153922336
hex2735d60

41114976 has 192 divisors, whose sum is σ = 134991360. Its totient is φ = 10690560.

The previous prime is 41114971. The next prime is 41115013. The reversal of 41114976 is 67941114.

41114976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

41114976 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41114971) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 673986 + ... + 674046.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 241114976 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 41114976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

41114976 is an abundant number, since it is smaller than the sum of its proper divisors (93876384).

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

41114976 is a wasteful number, since it uses less digits than its factorization.

41114976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 41114976 is about 6412.0960691493. The cubic root of 41114976 is about 345.1437502196.

The spelling of 41114976 in words is "forty-one million, one hundred fourteen thousand, nine hundred seventy-six".