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289799952 = 243131721607
BaseRepresentation
bin10001010001011…
…111111100010000
3202012022100210120
4101101133330100
51043142044302
644431230240
710116154551
oct2121377420
9665270716
10289799952
11139647aa2
1281078380
1348069180
142a6ba328
151a6969bc
hex1145ff10

289799952 has 120 divisors (see below), whose sum is σ = 856986816. Its totient is φ = 83871744.

The previous prime is 289799941. The next prime is 289799953. The reversal of 289799952 is 259997982.

It is not an unprimeable number, because it can be changed into a prime (289799953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179533 + ... + 181139.

Almost surely, 2289799952 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 289799952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428493408).

289799952 is an abundant number, since it is smaller than the sum of its proper divisors (567186864).

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

289799952 is a wasteful number, since it uses less digits than its factorization.

289799952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1642 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 60.

The square root of 289799952 is about 17023.5117411185. The cubic root of 289799952 is about 661.7583599180.

The spelling of 289799952 in words is "two hundred eighty-nine million, seven hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 289 312 408 442 578 624 663 816 867 884 1156 1326 1607 1734 1768 2312 2652 3214 3468 3536 3757 4624 4821 5304 6428 6936 7514 9642 10608 11271 12856 13872 15028 19284 20891 22542 25712 27319 30056 38568 41782 45084 54638 60112 62673 77136 81957 83564 90168 109276 125346 163914 167128 180336 218552 250692 327828 334256 355147 437104 464423 501384 655656 710294 928846 1002768 1065441 1311312 1393269 1420588 1857692 2130882 2786538 2841176 3715384 4261764 5573076 5682352 6037499 7430768 8523528 11146152 12074998 17047056 18112497 22292304 24149996 36224994 48299992 72449988 96599984 144899976 289799952