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40027041 = 34618101
BaseRepresentation
bin1001100010110…
…0001110100001
32210022120210000
42120230032201
540221331131
63545530213
7664136625
oct230541641
983276700
1040027041
11206599aa
12114a3969
1383a5c52
14545d185
1537a9ce6
hex262c3a1

40027041 has 20 divisors (see below), whose sum is σ = 60781204. Its totient is φ = 26244000.

The previous prime is 40027021. The next prime is 40027063. The reversal of 40027041 is 14072004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23184225 + 16842816 = 4815^2 + 4104^2 .

It is not a de Polignac number, because 40027041 - 210 = 40026017 is a prime.

It is a super-2 number, since 2×400270412 = 3204328022431362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40027021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 891 + ... + 8991.

Almost surely, 240027041 is an apocalyptic number.

It is an amenable number.

40027041 is a deficient number, since it is larger than the sum of its proper divisors (20754163).

40027041 is an equidigital number, since it uses as much as digits as its factorization.

40027041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8174 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40027041 is about 6326.6927379161. The cubic root of 40027041 is about 342.0722377417.

Adding to 40027041 its reverse (14072004), we get a palindrome (54099045).

The spelling of 40027041 in words is "forty million, twenty-seven thousand, forty-one".

Divisors: 1 3 9 27 61 81 183 549 1647 4941 8101 24303 72909 218727 494161 656181 1482483 4447449 13342347 40027041