Search a number
-
+
289930284 = 223272997409
BaseRepresentation
bin10001010001111…
…111110000101100
3202012112222120200
4101101333300230
51043210232114
644434113500
710120236540
oct2121776054
9665488520
10289930284
11139726a06
128111b890
13480b35a7
142a711a20
151a6c0409
hex1147fc2c

289930284 has 144 divisors (see below), whose sum is σ = 877531200. Its totient is φ = 78962688.

The previous prime is 289930283. The next prime is 289930301. The reversal of 289930284 is 482039982.

289930284 is a `hidden beast` number, since 289 + 93 + 0 + 284 = 666.

It is not an unprimeable number, because it can be changed into a prime (289930283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708672 + ... + 709080.

Almost surely, 2289930284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289930284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438765600).

289930284 is an abundant number, since it is smaller than the sum of its proper divisors (587600916).

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

289930284 is a wasteful number, since it uses less digits than its factorization.

289930284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 289930284 is about 17027.3393106498. The cubic root of 289930284 is about 661.8575494494.

The spelling of 289930284 in words is "two hundred eighty-nine million, nine hundred thirty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 97 116 126 174 194 203 252 261 291 348 388 406 409 522 582 609 679 812 818 873 1044 1164 1218 1227 1358 1636 1746 1827 2037 2436 2454 2716 2813 2863 3492 3654 3681 4074 4908 5626 5726 6111 7308 7362 8148 8439 8589 11252 11452 11861 12222 14724 16878 17178 19691 23722 24444 25317 25767 33756 34356 35583 39382 39673 47444 50634 51534 59073 71166 78764 79346 83027 101268 103068 106749 118146 119019 142332 158692 166054 177219 213498 236292 238038 249081 277711 332108 354438 357057 426996 476076 498162 555422 708876 714114 747243 833133 996324 1110844 1150517 1428228 1494486 1666266 2301034 2499399 2988972 3332532 3451551 4602068 4998798 6903102 8053619 9997596 10354653 13806204 16107238 20709306 24160857 32214476 41418612 48321714 72482571 96643428 144965142 289930284