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1028365749 = 32269424769
BaseRepresentation
bin111101010010111…
…001110110110101
32122200001101121100
4331102321312311
54101230200444
6250013240313
734324651605
oct7522716665
92580041540
101028365749
11488538454
12248493099
1313508c358
149a812c05
1560435e69
hex3d4b9db5

1028365749 has 12 divisors (see below), whose sum is σ = 1490942700. Its totient is φ = 683026944.

The previous prime is 1028365729. The next prime is 1028365757. The reversal of 1028365749 is 9475638201.

1028365749 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53802225 + 974563524 = 7335^2 + 31218^2 .

It is not a de Polignac number, because 1028365749 - 211 = 1028363701 is a prime.

It is a super-2 number, since 2×10283657492 = 2115072227432662002, which contains 22 as substring.

1028365749 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028365729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209964 + ... + 214805.

It is an arithmetic number, because the mean of its divisors is an integer number (124245225).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1028365749 = 2056731498, but 3⋅1028365749 = 3085097247 is not.

Almost surely, 21028365749 is an apocalyptic number.

It is an amenable number.

1028365749 is a deficient number, since it is larger than the sum of its proper divisors (462576951).

1028365749 is a wasteful number, since it uses less digits than its factorization.

1028365749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425044 (or 425041 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1028365749 is about 32068.1422754733. The cubic root of 1028365749 is about 1009.3672306801.

The spelling of 1028365749 in words is "one billion, twenty-eight million, three hundred sixty-five thousand, seven hundred forty-nine".

Divisors: 1 3 9 269 807 2421 424769 1274307 3822921 114262861 342788583 1028365749