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289094442 = 237134241
BaseRepresentation
bin10001001110110…
…011101100101010
3202010222112000120
4101032303230222
51043002010232
644404144110
710110155640
oct2116635452
9663875016
10289094442
11139205a2a
1280998036
1347b80000
142a575190
151a5a792c
hex113b3b2a

289094442 has 80 divisors (see below), whose sum is σ = 718821312. Its totient is φ = 75928320.

The previous prime is 289094441. The next prime is 289094453. The reversal of 289094442 is 244490982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 289094394 and 289094403.

It is not an unprimeable number, because it can be changed into a prime (289094441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1199442 + ... + 1199682.

Almost surely, 2289094442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289094442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359410656).

289094442 is an abundant number, since it is smaller than the sum of its proper divisors (429726870).

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

289094442 is an equidigital number, since it uses as much as digits as its factorization.

289094442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 289094442 is about 17002.7774789885. Note that the first 3 decimals coincide. The cubic root of 289094442 is about 661.2209127157.

The spelling of 289094442 in words is "two hundred eighty-nine million, ninety-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 241 273 338 482 507 546 723 1014 1183 1446 1687 2197 2366 3133 3374 3549 4394 5061 6266 6591 7098 9399 10122 13182 15379 18798 21931 28561 30758 40729 43862 46137 57122 65793 81458 85683 92274 122187 131586 171366 199927 244374 285103 399854 529477 570206 599781 855309 1058954 1199562 1588431 1710618 3176862 3706339 6883201 7412678 11119017 13766402 20649603 22238034 41299206 48182407 96364814 144547221 289094442