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289918872 = 233319411723
BaseRepresentation
bin10001010001111…
…100111110011000
3202012112101221000
4101101330332120
51043204400442
644433545000
710120161345
oct2121747630
9665471830
10289918872
11139719381
1281115160
13480ab339
142a70b7cc
151a6bbd4c
hex1147cf98

289918872 has 128 divisors (see below), whose sum is σ = 868896000. Its totient is φ = 89268480.

The previous prime is 289918807. The next prime is 289918883. The reversal of 289918872 is 278819982.

289918872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 167403 + ... + 169125.

It is an arithmetic number, because the mean of its divisors is an integer number (6788250).

Almost surely, 2289918872 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 289918872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434448000).

289918872 is an abundant number, since it is smaller than the sum of its proper divisors (578977128).

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

289918872 is a wasteful number, since it uses less digits than its factorization.

289918872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1788 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 289918872 is about 17027.0041992125. The cubic root of 289918872 is about 661.8488655026.

The spelling of 289918872 in words is "two hundred eighty-nine million, nine hundred eighteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 41 54 57 72 76 82 108 114 123 152 164 171 216 228 246 328 342 369 456 492 513 684 738 779 984 1026 1107 1368 1476 1558 1723 2052 2214 2337 2952 3116 3446 4104 4428 4674 5169 6232 6892 7011 8856 9348 10338 13784 14022 15507 18696 20676 21033 28044 31014 32737 41352 42066 46521 56088 62028 65474 70643 84132 93042 98211 124056 130948 141286 168264 186084 196422 211929 261896 282572 294633 372168 392844 423858 565144 589266 635787 785688 847716 883899 1178532 1271574 1342217 1695432 1767798 1907361 2357064 2543148 2684434 3535596 3814722 4026651 5086296 5368868 7071192 7629444 8053302 10737736 12079953 15258888 16106604 24159906 32213208 36239859 48319812 72479718 96639624 144959436 289918872