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40133033 is a prime number
BaseRepresentation
bin1001100100011…
…0000110101001
32210111222011122
42121012012221
540233224113
63552105025
7665060633
oct231060651
983458148
1040133033
11207215a6
1211535175
138412275
145489a53
1537cb408
hex26461a9

40133033 has 2 divisors, whose sum is σ = 40133034. Its totient is φ = 40133032.

The previous prime is 40133021. The next prime is 40133063. The reversal of 40133033 is 33033104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40094224 + 38809 = 6332^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 40133033 - 28 = 40132777 is a prime.

It is a super-2 number, since 2×401330332 = 3221320675558178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40133063) 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 as a sum of consecutive naturals, namely, 20066516 + 20066517.

It is an arithmetic number, because the mean of its divisors is an integer number (20066517).

Almost surely, 240133033 is an apocalyptic number.

It is an amenable number.

40133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

40133033 is an equidigital number, since it uses as much as digits as its factorization.

40133033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 40133033 is about 6335.0637723704. The cubic root of 40133033 is about 342.3739085107.

Adding to 40133033 its reverse (33033104), we get a palindrome (73166137).

The spelling of 40133033 in words is "forty million, one hundred thirty-three thousand, thirty-three".