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289239336 = 23341992243
BaseRepresentation
bin10001001111010…
…111000100101000
3202011020212210000
4101033113010220
51043021124321
644411223000
710111331241
oct2117270450
9664225700
10289239336
111392a4881
1280a47a60
1347c00c49
142a5b1cc8
151a5d5826
hex113d7128

289239336 has 80 divisors (see below), whose sum is σ = 814572000. Its totient is φ = 95885856.

The previous prime is 289239319. The next prime is 289239361. The reversal of 289239336 is 633932982.

289239336 is a `hidden beast` number, since 2 + 89 + 239 + 336 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 289239291 and 289239300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 127831 + ... + 130073.

It is an arithmetic number, because the mean of its divisors is an integer number (10182150).

Almost surely, 2289239336 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 289239336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407286000).

289239336 is an abundant number, since it is smaller than the sum of its proper divisors (525332664).

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

289239336 is a wasteful number, since it uses less digits than its factorization.

289239336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2447 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 289239336 is about 17007.0378373190. The cubic root of 289239336 is about 661.3313621368.

The spelling of 289239336 in words is "two hundred eighty-nine million, two hundred thirty-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 199 216 324 398 597 648 796 1194 1592 1791 2243 2388 3582 4486 4776 5373 6729 7164 8972 10746 13458 14328 16119 17944 20187 21492 26916 32238 40374 42984 53832 60561 64476 80748 121122 128952 161496 181683 242244 363366 446357 484488 726732 892714 1339071 1453464 1785428 2678142 3570856 4017213 5356284 8034426 10712568 12051639 16068852 24103278 32137704 36154917 48206556 72309834 96413112 144619668 289239336