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289227776 = 21041832
BaseRepresentation
bin10001001111010…
…100010000000000
3202011020021220212
4101033110100000
51043020242101
644411053252
710111252445
oct2117242000
9664207825
10289227776
11139297122
1280a41228
1347bc88c6
142a5ab9cc
151a5d21bb
hex113d4400

289227776 has 66 divisors (see below), whose sum is σ = 599496702. Its totient is φ = 139386880.

The previous prime is 289227773. The next prime is 289227781. The reversal of 289227776 is 677722982.

It can be written as a sum of positive squares in only one way, i.e., 176358400 + 112869376 = 13280^2 + 10624^2 .

Its product of digits (1185408) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289227773) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3484631 + ... + 3484713.

Almost surely, 2289227776 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 289227776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299748351).

289227776 is an abundant number, since it is smaller than the sum of its proper divisors (310268926).

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

289227776 is an frugal number, since it uses more digits than its factorization.

289227776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 126 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 50.

The square root of 289227776 is about 17006.6979746216. The cubic root of 289227776 is about 661.3225515643.

The spelling of 289227776 in words is "two hundred eighty-nine million, two hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 83 128 164 166 256 328 332 512 656 664 1024 1312 1328 2624 2656 3403 5248 5312 6806 6889 10496 10624 13612 13778 20992 21248 27224 27556 41984 42496 54448 55112 84992 108896 110224 217792 220448 282449 435584 440896 564898 871168 881792 1129796 1742336 1763584 2259592 3484672 3527168 4519184 7054336 9038368 18076736 36153472 72306944 144613888 289227776