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1026044057 is a prime number
BaseRepresentation
bin111101001010000…
…011000010011001
32122111200102211202
4331022003002121
54100131402212
6245451403545
734266142043
oct7512030231
92574612752
101026044057
114871a20a5
122477535b5
1313475867c
149a3aaa93
15601280c2
hex3d283099

1026044057 has 2 divisors, whose sum is σ = 1026044058. Its totient is φ = 1026044056.

The previous prime is 1026043999. The next prime is 1026044059. The reversal of 1026044057 is 7504406201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 944701696 + 81342361 = 30736^2 + 9019^2 .

It is a cyclic number.

It is not a de Polignac number, because 1026044057 - 212 = 1026039961 is a prime.

Together with 1026044059, 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 (1026044059) 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, 513022028 + 513022029.

It is an arithmetic number, because the mean of its divisors is an integer number (513022029).

Almost surely, 21026044057 is an apocalyptic number.

It is an amenable number.

1026044057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1026044057 is an equidigital number, since it uses as much as digits as its factorization.

1026044057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 1026044057 is about 32031.9224680630. The cubic root of 1026044057 is about 1008.6070583390.

The spelling of 1026044057 in words is "one billion, twenty-six million, forty-four thousand, fifty-seven".