Search a number
-
+
289442124 = 2232194110321
BaseRepresentation
bin10001010000001…
…000100101001100
3202011122011221200
4101100020211030
51043044121444
644415425500
710113134406
oct2120104514
9664564850
10289442124
11139423174
1280b25290
1347c7233a
142a625b76
151a625969
hex1140894c

289442124 has 72 divisors (see below), whose sum is σ = 789013680. Its totient is φ = 89164800.

The previous prime is 289442123. The next prime is 289442129. The reversal of 289442124 is 421244982.

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

It is not an unprimeable number, because it can be changed into a prime (289442123) 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, 22884 + ... + 33204.

Almost surely, 2289442124 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 289442124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394506840).

289442124 is an abundant number, since it is smaller than the sum of its proper divisors (499571556).

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

289442124 is a wasteful number, since it uses less digits than its factorization.

289442124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10391 (or 10386 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 289442124 is about 17012.9986774819. The cubic root of 289442124 is about 661.4858809244.

The spelling of 289442124 in words is "two hundred eighty-nine million, four hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 684 738 779 1476 1558 2337 3116 4674 7011 9348 10321 14022 20642 28044 30963 41284 61926 92889 123852 185778 196099 371556 392198 423161 588297 784396 846322 1176594 1269483 1692644 1764891 2353188 2538966 3529782 3808449 5077932 7059564 7616898 8040059 15233796 16080118 24120177 32160236 48240354 72360531 96480708 144721062 289442124