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289299816 = 233313269383
BaseRepresentation
bin10001001111100…
…101110101101000
3202011100221202000
4101033211311220
51043030043231
644412411000
710112002461
oct2117456550
9664327660
10289299816
11139336263
1280a76a60
1347c22630
142a5c9d68
151a5e86e6
hex113e5d68

289299816 has 128 divisors (see below), whose sum is σ = 870912000. Its totient is φ = 88452864.

The previous prime is 289299763. The next prime is 289299827. The reversal of 289299816 is 618992982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755161 + ... + 755543.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2289299816 is an apocalyptic number.

289299816 is a gapful number since it is divisible by the number (26) 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 289299816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

289299816 is an abundant number, since it is smaller than the sum of its proper divisors (581612184).

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

289299816 is a wasteful number, since it uses less digits than its factorization.

289299816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 289299816 is about 17008.8158317973. The cubic root of 289299816 is about 661.3774537621.

The spelling of 289299816 in words is "two hundred eighty-nine million, two hundred ninety-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 269 312 351 383 468 538 702 766 807 936 1076 1149 1404 1532 1614 2152 2298 2421 2808 3064 3228 3447 3497 4596 4842 4979 6456 6894 6994 7263 9192 9684 9958 10341 10491 13788 13988 14526 14937 19368 19916 20682 20982 27576 27976 29052 29874 31473 39832 41364 41964 44811 58104 59748 62946 82728 83928 89622 94419 103027 119496 125892 134433 179244 188838 206054 251784 268866 309081 358488 377676 412108 537732 618162 755352 824216 927243 1075464 1236324 1339351 1854486 2472648 2678702 2781729 3708972 4018053 5357404 5563458 7417944 8036106 10714808 11126916 12054159 16072212 22253832 24108318 32144424 36162477 48216636 72324954 96433272 144649908 289299816