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428354657 is a prime number
BaseRepresentation
bin11001100010000…
…010110001100001
31002212000200010022
4121202002301201
51334124322112
6110301043225
713420645253
oct3142026141
91085020108
10428354657
111aa882215
12bb556515
136a98b6c3
1440c65cd3
1527914d72
hex19882c61

428354657 has 2 divisors, whose sum is σ = 428354658. Its totient is φ = 428354656.

The previous prime is 428354623. The next prime is 428354659. The reversal of 428354657 is 756453824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394260736 + 34093921 = 19856^2 + 5839^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-428354657 is a prime.

Together with 428354659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (428354659) 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, 214177328 + 214177329.

It is an arithmetic number, because the mean of its divisors is an integer number (214177329).

Almost surely, 2428354657 is an apocalyptic number.

It is an amenable number.

428354657 is a deficient number, since it is larger than the sum of its proper divisors (1).

428354657 is an equidigital number, since it uses as much as digits as its factorization.

428354657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 806400, while the sum is 44.

The square root of 428354657 is about 20696.7305872208. The cubic root of 428354657 is about 753.8203040691.

The spelling of 428354657 in words is "four hundred twenty-eight million, three hundred fifty-four thousand, six hundred fifty-seven".