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1027648417 is a prime number
BaseRepresentation
bin111101010000001…
…010101110100001
32122121200221121111
4331100022232201
54101034222132
6245550023321
734315603345
oct7520125641
92577627544
101027648417
11488098514
122481a7b41
13134b9a9b3
149a6a7625
1560343647
hex3d40aba1

1027648417 has 2 divisors, whose sum is σ = 1027648418. Its totient is φ = 1027648416.

The previous prime is 1027648399. The next prime is 1027648439. The reversal of 1027648417 is 7148467201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 988410721 + 39237696 = 31439^2 + 6264^2 .

It is a cyclic number.

It is not a de Polignac number, because 1027648417 - 219 = 1027124129 is a prime.

It is a super-2 number, since 2×10276484172 = 2112122537925211778, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1027648417.

It is not a weakly prime, because it can be changed into another prime (1027640417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 513824208 + 513824209.

It is an arithmetic number, because the mean of its divisors is an integer number (513824209).

Almost surely, 21027648417 is an apocalyptic number.

It is an amenable number.

1027648417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1027648417 is an equidigital number, since it uses as much as digits as its factorization.

1027648417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 1027648417 is about 32056.9558286497. The cubic root of 1027648417 is about 1009.1324828668.

The spelling of 1027648417 in words is "one billion, twenty-seven million, six hundred forty-eight thousand, four hundred seventeen".