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289141092 = 223231972671
BaseRepresentation
bin10001001110111…
…111000101100100
3202011001220000100
4101032333011210
51043010003332
644405144100
710110441642
oct2116770544
9664056010
10289141092
11139237a89
12809bb030
1347b98306
142a588192
151a5b667c
hex113bf164

289141092 has 72 divisors (see below), whose sum is σ = 762524672. Its totient is φ = 92275200.

The previous prime is 289141081. The next prime is 289141121. The reversal of 289141092 is 290141982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106917 + ... + 109587.

Almost surely, 2289141092 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 289141092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381262336).

289141092 is an abundant number, since it is smaller than the sum of its proper divisors (473383580).

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

289141092 is a wasteful number, since it uses less digits than its factorization.

289141092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 289141092 is about 17004.1492583428. The cubic root of 289141092 is about 661.2564769836.

Adding to 289141092 its sum of digits (36), we get a triangular number (289141128 = T24047).

The spelling of 289141092 in words is "two hundred eighty-nine million, one hundred forty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 97 124 186 194 279 291 372 388 558 582 873 1116 1164 1746 2671 3007 3492 5342 6014 8013 9021 10684 12028 16026 18042 24039 27063 32052 36084 48078 54126 82801 96156 108252 165602 248403 259087 331204 496806 518174 745209 777261 993612 1036348 1490418 1554522 2331783 2980836 3109044 4663566 8031697 9327132 16063394 24095091 32126788 48190182 72285273 96380364 144570546 289141092