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289741872 = 24373127817
BaseRepresentation
bin10001010001010…
…001110000110000
3202012012102010110
4101101101300300
51043133214442
644430101320
710115523330
oct2121216060
9665172113
10289741872
111396083a2
128104a840
13480488c4
142a6a30c0
151a68469c
hex11451c30

289741872 has 80 divisors (see below), whose sum is σ = 883054592. Its totient is φ = 80110080.

The previous prime is 289741867. The next prime is 289741873. The reversal of 289741872 is 278147982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (289741873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3493 + ... + 24324.

Almost surely, 2289741872 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 289741872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441527296).

289741872 is an abundant number, since it is smaller than the sum of its proper divisors (593312720).

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

289741872 is a wasteful number, since it uses less digits than its factorization.

289741872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27866 (or 27860 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 289741872 is about 17021.8057796463. The cubic root of 289741872 is about 661.7141483930.

The spelling of 289741872 in words is "two hundred eighty-nine million, seven hundred forty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 27817 55634 83451 111268 166902 194719 222536 333804 389438 445072 584157 667608 778876 862327 1168314 1335216 1557752 1724654 2336628 2586981 3115504 3449308 4673256 5173962 6036289 6898616 9346512 10347924 12072578 13797232 18108867 20695848 24145156 36217734 41391696 48290312 72435468 96580624 144870936 289741872