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408106041 = 37313716943
BaseRepresentation
bin11000010100110…
…011010000111001
31001102220221020120
4120110303100321
51313433343131
6104255043453
713053562350
oct3024632071
91042827216
10408106041
1119a402122
12b4810589
136671c085
143c2b4997
1525c65496
hex18533439

408106041 has 32 divisors (see below), whose sum is σ = 659324928. Its totient is φ = 219568320.

The previous prime is 408106019. The next prime is 408106051. The reversal of 408106041 is 140601804.

408106041 is nontrivially palindromic in base 5.

It is not a de Polignac number, because 408106041 - 215 = 408073273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (408106051) 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, 15616 + ... + 32558.

It is an arithmetic number, because the mean of its divisors is an integer number (20603904).

Almost surely, 2408106041 is an apocalyptic number.

It is an amenable number.

408106041 is a deficient number, since it is larger than the sum of its proper divisors (251218887).

408106041 is a wasteful number, since it uses less digits than its factorization.

408106041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17021.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 408106041 is about 20201.6346120803. The cubic root of 408106041 is about 741.7502041044.

Adding to 408106041 its reverse (140601804), we get a palindrome (548707845).

The spelling of 408106041 in words is "four hundred eight million, one hundred six thousand, forty-one".

Divisors: 1 3 7 21 31 37 93 111 217 259 651 777 1147 3441 8029 16943 24087 50829 118601 355803 525233 626891 1575699 1880673 3676631 4388237 11029893 13164711 19433621 58300863 136035347 408106041