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40820333 is a prime number
BaseRepresentation
bin1001101110110…
…1111001101101
32211210212222012
42123231321231
540422222313
64014531005
71003652501
oct233557155
984725865
1040820333
1121050a14
1211806a65
1385c3058
1455c8301
1538b4da8
hex26ede6d

40820333 has 2 divisors, whose sum is σ = 40820334. Its totient is φ = 40820332.

The previous prime is 40820293. The next prime is 40820363. The reversal of 40820333 is 33302804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38962564 + 1857769 = 6242^2 + 1363^2 .

It is a cyclic number.

It is not a de Polignac number, because 40820333 - 220 = 39771757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40820299 and 40820308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40820363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20410166 + 20410167.

It is an arithmetic number, because the mean of its divisors is an integer number (20410167).

Almost surely, 240820333 is an apocalyptic number.

It is an amenable number.

40820333 is a deficient number, since it is larger than the sum of its proper divisors (1).

40820333 is an equidigital number, since it uses as much as digits as its factorization.

40820333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 40820333 is about 6389.0791981318. The cubic root of 40820333 is about 344.3173028921.

The spelling of 40820333 in words is "forty million, eight hundred twenty thousand, three hundred thirty-three".