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41829281 = 1329181613
BaseRepresentation
bin1001111110010…
…0001110100001
32220201010222122
42133210032201
541202014111
64052314025
71015354154
oct237441641
986633878
1041829281
112167aa5a
1212012915
138887370
1457abc9b
153a13cdb
hex27e43a1

41829281 has 16 divisors (see below), whose sum is σ = 46934160. Its totient is φ = 37013760.

The previous prime is 41829259. The next prime is 41829283. The reversal of 41829281 is 18292814.

41829281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 25150225 + 16679056 = 5015^2 + 4084^2 .

It is a cyclic number.

It is not a de Polignac number, because 41829281 - 210 = 41828257 is a prime.

It is a super-2 number, since 2×418292812 = 3499377497953922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41829283) 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 15 ways as a sum of consecutive naturals, for example, 67931 + ... + 68543.

It is an arithmetic number, because the mean of its divisors is an integer number (2933385).

Almost surely, 241829281 is an apocalyptic number.

It is an amenable number.

41829281 is a deficient number, since it is larger than the sum of its proper divisors (5104879).

41829281 is a wasteful number, since it uses less digits than its factorization.

41829281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836.

The product of its digits is 9216, while the sum is 35.

The square root of 41829281 is about 6467.5560299081. The cubic root of 41829281 is about 347.1310536547.

The spelling of 41829281 in words is "forty-one million, eight hundred twenty-nine thousand, two hundred eighty-one".

Divisors: 1 13 29 181 377 613 2353 5249 7969 17777 68237 110953 231101 1442389 3217637 41829281