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41081144 = 23131013911
BaseRepresentation
bin1001110010110…
…1100100111000
32212022010201212
42130231210320
541004044034
64024302252
71006120046
oct234554470
985263655
1041081144
1121209965
1211911988
138684990
145655396
1539172ce
hex272d938

41081144 has 32 divisors (see below), whose sum is σ = 83795040. Its totient is φ = 18768000.

The previous prime is 41081143. The next prime is 41081147. The reversal of 41081144 is 44118014.

41081144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41081141) 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 7 ways as a sum of consecutive naturals, for example, 8549 + ... + 12459.

It is an arithmetic number, because the mean of its divisors is an integer number (2618595).

Almost surely, 241081144 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 41081144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41897520).

41081144 is an abundant number, since it is smaller than the sum of its proper divisors (42713896).

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

41081144 is a wasteful number, since it uses less digits than its factorization.

41081144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 41081144 is about 6409.4573873301. The cubic root of 41081144 is about 345.0490555463.

Adding to 41081144 its reverse (44118014), we get a palindrome (85199158).

The spelling of 41081144 in words is "forty-one million, eighty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 3911 5252 7822 10504 15644 31288 50843 101686 203372 395011 406744 790022 1580044 3160088 5135143 10270286 20540572 41081144