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289029888 = 2832717921
BaseRepresentation
bin10001001110100…
…011111100000000
3202010212020110200
4101032203330000
51042442424023
644402525200
710106466510
oct2116437400
9663766420
10289029888
11139171484
1280966800
1347b59804
142a559840
151a593743
hex113a3f00

289029888 has 108 divisors (see below), whose sum is σ = 952446768. Its totient is φ = 82575360.

The previous prime is 289029847. The next prime is 289029907. The reversal of 289029888 is 888920982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7168 + ... + 25088.

Almost surely, 2289029888 is an apocalyptic number.

289029888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476223384).

289029888 is an abundant number, since it is smaller than the sum of its proper divisors (663416880).

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

289029888 is a wasteful number, since it uses less digits than its factorization.

289029888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17950 (or 17933 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 289029888 is about 17000.8790360969. The cubic root of 289029888 is about 661.1716927768.

The spelling of 289029888 in words is "two hundred eighty-nine million, twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 17921 35842 53763 71684 107526 125447 143368 161289 215052 250894 286736 322578 376341 430104 501788 573472 645156 752682 860208 1003576 1129023 1146944 1290312 1505364 1720416 2007152 2258046 2293888 2580624 3010728 3440832 4014304 4516092 4587776 5161248 6021456 6881664 8028608 9032184 10322496 12042912 13763328 16057216 18064368 20644992 24085824 32114432 36128736 41289984 48171648 72257472 96343296 144514944 289029888