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1028142495 = 325375361191
BaseRepresentation
bin111101010010000…
…011010110011111
32122122122001100200
4331102003112133
54101201024440
6250004354543
734323031662
oct7522032637
92578561320
101028142495
114883a5746
122483a5a53
13135011853
149a7956d9
15603dec30
hex3d48359f

1028142495 has 96 divisors (see below), whose sum is σ = 1905306624. Its totient is φ = 512179200.

The previous prime is 1028142469. The next prime is 1028142499. The reversal of 1028142495 is 5942418201.

1028142495 is a `hidden beast` number, since 1 + 0 + 28 + 142 + 495 = 666.

It is not a de Polignac number, because 1028142495 - 25 = 1028142463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028142499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5382850 + ... + 5383040.

It is an arithmetic number, because the mean of its divisors is an integer number (19846944).

It is a vampire number, since it can be written as 2120148495 (with its own digits).

Almost surely, 21028142495 is an apocalyptic number.

1028142495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1028142495 is a deficient number, since it is larger than the sum of its proper divisors (877164129).

1028142495 is a wasteful number, since it uses less digits than its factorization.

1028142495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1028142495 is about 32064.6611552344. The cubic root of 1028142495 is about 1009.2941822273.

The spelling of 1028142495 in words is "one billion, twenty-eight million, one hundred forty-two thousand, four hundred ninety-five".

Divisors: 1 3 5 9 15 37 45 53 61 111 159 183 185 191 265 305 333 477 549 555 573 795 915 955 1665 1719 1961 2257 2385 2745 2865 3233 5883 6771 7067 8595 9699 9805 10123 11285 11651 16165 17649 20313 21201 29097 29415 30369 33855 34953 35335 48495 50615 58255 63603 88245 91107 101565 104859 106005 119621 145485 151845 174765 318015 358863 374551 431087 455535 524295 598105 617503 1076589 1123653 1293261 1794315 1852509 1872755 2155435 3087515 3370959 3879783 5382945 5557527 5618265 6466305 9262545 16854795 19398915 22847611 27787635 68542833 114238055 205628499 342714165 1028142495