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128285469 = 3213432593
BaseRepresentation
bin1111010010101…
…11101100011101
322221101120120200
413221113230131
5230320113334
620421334113
73115260054
oct751275435
9287346520
10128285469
1166460854
1236b67339
1320768280
141307539b
15b3e0799
hex7a57b1d

128285469 has 36 divisors (see below), whose sum is σ = 204648444. Its totient is φ = 76978944.

The previous prime is 128285461. The next prime is 128285477. The reversal of 128285469 is 964582821.

It is an interprime number because it is at equal distance from previous prime (128285461) and next prime (128285477).

It can be written as a sum of positive squares in 2 ways, for example, as 46744569 + 81540900 = 6837^2 + 9030^2 .

It is not a de Polignac number, because 128285469 - 23 = 128285461 is a prime.

It is a super-3 number, since 3×1282854693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128285461) 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 35 ways as a sum of consecutive naturals, for example, 216037 + ... + 216629.

It is an arithmetic number, because the mean of its divisors is an integer number (5684679).

Almost surely, 2128285469 is an apocalyptic number.

It is an amenable number.

128285469 is a deficient number, since it is larger than the sum of its proper divisors (76362975).

128285469 is a wasteful number, since it uses less digits than its factorization.

128285469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 652 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 128285469 is about 11326.3175392534. The cubic root of 128285469 is about 504.3427963666.

The spelling of 128285469 in words is "one hundred twenty-eight million, two hundred eighty-five thousand, four hundred sixty-nine".

Divisors: 1 3 9 13 39 43 117 129 387 559 593 1677 1779 1849 5031 5337 5547 7709 16641 23127 24037 25499 69381 72111 76497 216333 229491 331487 994461 1096457 2983383 3289371 9868113 14253941 42761823 128285469