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405413233 is a prime number
BaseRepresentation
bin11000001010100…
…001110101110001
31001020212010101221
4120022201311301
51312241210413
6104121225041
713021645531
oct3012416561
91036763357
10405413233
11198932a65
12b3932181
1365cb84b4
143bbb34c1
15258d268d
hex182a1d71

405413233 has 2 divisors, whose sum is σ = 405413234. Its totient is φ = 405413232.

The previous prime is 405413231. The next prime is 405413237. The reversal of 405413233 is 332314504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203119504 + 202293729 = 14252^2 + 14223^2 .

It is a cyclic number.

It is not a de Polignac number, because 405413233 - 21 = 405413231 is a prime.

Together with 405413231, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 405413198 and 405413207.

It is not a weakly prime, because it can be changed into another prime (405413231) 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, 202706616 + 202706617.

It is an arithmetic number, because the mean of its divisors is an integer number (202706617).

Almost surely, 2405413233 is an apocalyptic number.

It is an amenable number.

405413233 is a deficient number, since it is larger than the sum of its proper divisors (1).

405413233 is an equidigital number, since it uses as much as digits as its factorization.

405413233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 405413233 is about 20134.8760363703. The cubic root of 405413233 is about 740.1151713851.

Adding to 405413233 its reverse (332314504), we get a palindrome (737727737).

The spelling of 405413233 in words is "four hundred five million, four hundred thirteen thousand, two hundred thirty-three".