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41287933 is a prime number
BaseRepresentation
bin1001110110000…
…0000011111101
32212200122101201
42131200003331
541032203213
64032535501
71010640661
oct235400375
985618351
1041287933
1121340265
12119b1591
138727b3b
1456aa8a1
1539586dd
hex27600fd

41287933 has 2 divisors, whose sum is σ = 41287934. Its totient is φ = 41287932.

The previous prime is 41287907. The next prime is 41287957. The reversal of 41287933 is 33978214.

41287933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40729924 + 558009 = 6382^2 + 747^2 .

It is a cyclic number.

It is not a de Polignac number, because 41287933 - 225 = 7733501 is a prime.

It is a super-2 number, since 2×412879332 = 3409386822824978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41287892 and 41287901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41287903) 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 as a sum of consecutive naturals, namely, 20643966 + 20643967.

It is an arithmetic number, because the mean of its divisors is an integer number (20643967).

Almost surely, 241287933 is an apocalyptic number.

It is an amenable number.

41287933 is a deficient number, since it is larger than the sum of its proper divisors (1).

41287933 is an equidigital number, since it uses as much as digits as its factorization.

41287933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 37.

The square root of 41287933 is about 6425.5686907853. The cubic root of 41287933 is about 345.6270414092.

The spelling of 41287933 in words is "forty-one million, two hundred eighty-seven thousand, nine hundred thirty-three".