Search a number
-
+
289417986 = 2321113229491
BaseRepresentation
bin10001010000000…
…010101100000010
3202011120221211200
4101100002230002
51043042333421
644415122030
710113004134
oct2120025402
9664527750
10289417986
11139407020
1280b13316
1347c64360
142a61b054
151a61d726
hex11402b02

289417986 has 96 divisors (see below), whose sum is σ = 741424320. Its totient is φ = 80438400.

The previous prime is 289417967. The next prime is 289417991. The reversal of 289417986 is 689714982.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589201 + ... + 589691.

It is an arithmetic number, because the mean of its divisors is an integer number (7723170).

Almost surely, 2289417986 is an apocalyptic number.

289417986 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 289417986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370712160).

289417986 is an abundant number, since it is smaller than the sum of its proper divisors (452006334).

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

289417986 is a wasteful number, since it uses less digits than its factorization.

289417986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 749 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 289417986 is about 17012.2892639409. The cubic root of 289417986 is about 661.4674922280.

The spelling of 289417986 in words is "two hundred eighty-nine million, four hundred seventeen thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 229 234 286 429 458 491 687 858 982 1287 1374 1473 2061 2519 2574 2946 2977 4122 4419 5038 5401 5954 6383 7557 8838 8931 10802 12766 15114 16203 17862 19149 22671 26793 32406 32747 38298 45342 48609 53586 57447 65494 70213 97218 98241 112439 114894 140426 196482 210639 224878 294723 337317 421278 589446 631917 674634 1011951 1236829 1263834 1461707 2023902 2473658 2923414 3710487 4385121 7420974 8770242 11131461 13155363 16078777 22262922 26310726 32157554 48236331 96472662 144708993 289417986