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40712333 is a prime number
BaseRepresentation
bin1001101101001…
…1100010001101
32211121101211012
42123103202031
540410243313
64012335005
71003022564
oct233234215
984541735
1040712333
1120a87862
1211774465
138585b4c
14559abdb
153892da8
hex26d388d

40712333 has 2 divisors, whose sum is σ = 40712334. Its totient is φ = 40712332.

The previous prime is 40712291. The next prime is 40712339. The reversal of 40712333 is 33321704.

It is a happy number.

40712333 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., 21325924 + 19386409 = 4618^2 + 4403^2 .

It is a cyclic number.

It is not a de Polignac number, because 40712333 - 210 = 40711309 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 40712299 and 40712308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40712339) 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, 20356166 + 20356167.

It is an arithmetic number, because the mean of its divisors is an integer number (20356167).

Almost surely, 240712333 is an apocalyptic number.

It is an amenable number.

40712333 is a deficient number, since it is larger than the sum of its proper divisors (1).

40712333 is an equidigital number, since it uses as much as digits as its factorization.

40712333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 40712333 is about 6380.6216781753. The cubic root of 40712333 is about 344.0133766432.

The spelling of 40712333 in words is "forty million, seven hundred twelve thousand, three hundred thirty-three".