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41820431 is a prime number
BaseRepresentation
bin1001111110001…
…0000100001111
32220200200211212
42133202010033
541201223211
64052205035
71015316312
oct237420417
986620755
1041820431
1121674344
121200977b
138883323
1457a8979
153a1138b
hex27e210f

41820431 has 2 divisors, whose sum is σ = 41820432. Its totient is φ = 41820430.

The previous prime is 41820413. The next prime is 41820433. The reversal of 41820431 is 13402814.

41820431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (41820413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 41820431 - 26 = 41820367 is a prime.

It is a super-3 number, since 3×418204313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 41820433, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 41820397 and 41820406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41820433) 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, 20910215 + 20910216.

It is an arithmetic number, because the mean of its divisors is an integer number (20910216).

Almost surely, 241820431 is an apocalyptic number.

41820431 is a deficient number, since it is larger than the sum of its proper divisors (1).

41820431 is an equidigital number, since it uses as much as digits as its factorization.

41820431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 41820431 is about 6466.8718094609. The cubic root of 41820431 is about 347.1065705937.

The spelling of 41820431 in words is "forty-one million, eight hundred twenty thousand, four hundred thirty-one".