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420492641 is a prime number
BaseRepresentation
bin11001000100000…
…011010101100001
31002022020020110112
4121010003111201
51330121231031
6105420341105
713264062032
oct3104032541
91068206415
10420492641
111a63a2388
12b89a4795
136916801a
143dbbaa89
1526db062b
hex19103561

420492641 has 2 divisors, whose sum is σ = 420492642. Its totient is φ = 420492640.

The previous prime is 420492623. The next prime is 420492643. The reversal of 420492641 is 146294024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 288150625 + 132342016 = 16975^2 + 11504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420492641 is a prime.

It is a super-2 number, since 2×4204926412 = 353628122270309762, which contains 22 as substring.

Together with 420492643, 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 = 420492598 and 420492607.

It is not a weakly prime, because it can be changed into another prime (420492643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210246320 + 210246321.

It is an arithmetic number, because the mean of its divisors is an integer number (210246321).

Almost surely, 2420492641 is an apocalyptic number.

It is an amenable number.

420492641 is a deficient number, since it is larger than the sum of its proper divisors (1).

420492641 is an equidigital number, since it uses as much as digits as its factorization.

420492641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 420492641 is about 20505.9172191833. The cubic root of 420492641 is about 749.1799279322.

The spelling of 420492641 in words is "four hundred twenty million, four hundred ninety-two thousand, six hundred forty-one".