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428371001 is a prime number
BaseRepresentation
bin11001100010000…
…110110000111001
31002212001111112122
4121202012300321
51334130333001
6110301251025
713421044022
oct3142066071
91085044478
10428371001
111aa893523
12bb563a75
136a995c86
1440c6bc49
1527919b1b
hex19886c39

428371001 has 2 divisors, whose sum is σ = 428371002. Its totient is φ = 428371000.

The previous prime is 428370991. The next prime is 428371003. The reversal of 428371001 is 100173824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412049401 + 16321600 = 20299^2 + 4040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-428371001 is a prime.

Together with 428371003, 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 (428371003) 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, 214185500 + 214185501.

It is an arithmetic number, because the mean of its divisors is an integer number (214185501).

Almost surely, 2428371001 is an apocalyptic number.

It is an amenable number.

428371001 is a deficient number, since it is larger than the sum of its proper divisors (1).

428371001 is an equidigital number, since it uses as much as digits as its factorization.

428371001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 428371001 is about 20697.1254284260. The cubic root of 428371001 is about 753.8298913602.

The spelling of 428371001 in words is "four hundred twenty-eight million, three hundred seventy-one thousand, one".