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282389148409 = 172312592
BaseRepresentation
bin1000001101111111011…
…01000111001011111001
3222222220012000001222111
410012333231013023321
514111313110222114
6333421111252321
726254603104604
oct4067755071371
9888805001874
10282389148409
11a98403488a5
124688b67a0a1
1320824410574
14d94c29333b
15752b573bc4
hex41bfb472f9

282389148409 has 9 divisors (see below), whose sum is σ = 299986996687. Its totient is φ = 265769519584.

The previous prime is 282389148407. The next prime is 282389148413. The reversal of 282389148409 is 904841983282.

It is a happy number.

The square root of 282389148409 is 531403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 219853143225 + 62536005184 = 468885^2 + 250072^2 .

It is not a de Polignac number, because 282389148409 - 21 = 282389148407 is a prime.

It is a super-2 number, since 2×2823891484092 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (282389148407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9018222 + ... + 9049480.

Almost surely, 2282389148409 is an apocalyptic number.

282389148409 is the 531403-rd square number.

282389148409 is the 265702-nd centered octagonal number.

It is an amenable number.

282389148409 is a deficient number, since it is larger than the sum of its proper divisors (17597848278).

282389148409 is an frugal number, since it uses more digits than its factorization.

282389148409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62552 (or 31276 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 58.

The spelling of 282389148409 in words is "two hundred eighty-two billion, three hundred eighty-nine million, one hundred forty-eight thousand, four hundred nine".

Divisors: 1 17 289 31259 531403 9033851 977125081 16611126377 282389148409