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289749384 = 233237310789
BaseRepresentation
bin10001010001010…
…011100110001000
3202012012210102200
4101101103212020
51043133440014
644430200200
710115554251
oct2121234610
9665183380
10289749384
11139613001
1281053060
134804c152
142a6a5b28
151a686a09
hex11453988

289749384 has 48 divisors (see below), whose sum is σ = 786914700. Its totient is φ = 96315264.

The previous prime is 289749371. The next prime is 289749389. The reversal of 289749384 is 483947982.

It can be written as a sum of positive squares in 2 ways, for example, as 289748484 + 900 = 17022^2 + 30^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 289749384.

It is not an unprimeable number, because it can be changed into a prime (289749389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21462 + ... + 32250.

Almost surely, 2289749384 is an apocalyptic number.

289749384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

289749384 is an abundant number, since it is smaller than the sum of its proper divisors (497165316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289749384 is a wasteful number, since it uses less digits than its factorization.

289749384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11174 (or 11167 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 289749384 is about 17022.0264363559. The cubic root of 289749384 is about 661.7198669931.

The spelling of 289749384 in words is "two hundred eighty-nine million, seven hundred forty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 373 746 1119 1492 2238 2984 3357 4476 6714 8952 10789 13428 21578 26856 32367 43156 64734 86312 97101 129468 194202 258936 388404 776808 4024297 8048594 12072891 16097188 24145782 32194376 36218673 48291564 72437346 96583128 144874692 289749384