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288930292 = 22731367907
BaseRepresentation
bin10001001110001…
…011100111110100
3202010200011211221
4101032023213310
51042431232132
644400440124
710105603240
oct2116134764
9663604757
10288930292
11139103672
1280919044
1347b23391
142a531420
151a573e97
hex1138b9f4

288930292 has 48 divisors (see below), whose sum is σ = 598786048. Its totient is φ = 119374560.

The previous prime is 288930269. The next prime is 288930307. The reversal of 288930292 is 292039882.

288930292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318103 + ... + 319009.

Almost surely, 2288930292 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 288930292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299393024).

288930292 is an abundant number, since it is smaller than the sum of its proper divisors (309855756).

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

288930292 is a wasteful number, since it uses less digits than its factorization.

288930292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 288930292 is about 16997.9496410597. The cubic root of 288930292 is about 661.0957402845.

The spelling of 288930292 in words is "two hundred eighty-eight million, nine hundred thirty thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 367 434 734 868 907 1468 1814 2569 3628 5138 6349 10276 11377 12698 22754 25396 28117 45508 56234 79639 112468 159278 196819 318556 332869 393638 665738 787276 1331476 2330083 4660166 9320332 10318939 20637878 41275756 72232573 144465146 288930292