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289102008 = 233131098501
BaseRepresentation
bin10001001110110…
…101100010111000
3202010222220101210
4101032311202320
51043002231013
644404243120
710110216666
oct2116654270
9663886353
10289102008
11139210688
12809a04a0
1347b835a0
142a577c36
151a5a9cc3
hex113b58b8

289102008 has 64 divisors (see below), whose sum is σ = 785584800. Its totient is φ = 88128000.

The previous prime is 289102007. The next prime is 289102027. The reversal of 289102008 is 800201982.

It is a Cunningham number, because it is equal to 170032-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289102003) 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, 29758 + ... + 38258.

Almost surely, 2289102008 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 289102008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392792400).

289102008 is an abundant number, since it is smaller than the sum of its proper divisors (496482792).

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

289102008 is a wasteful number, since it uses less digits than its factorization.

289102008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8632 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 289102008 is about 17002.9999705934. Note that the first 4 decimals coincide. The cubic root of 289102008 is about 661.2266810196.

The spelling of 289102008 in words is "two hundred eighty-nine million, one hundred two thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 218 312 327 436 654 872 1308 1417 2616 2834 4251 5668 8501 8502 11336 17002 17004 25503 34004 34008 51006 68008 102012 110513 204024 221026 331539 442052 663078 884104 926609 1326156 1853218 2652312 2779827 3706436 5559654 7412872 11119308 12045917 22238616 24091834 36137751 48183668 72275502 96367336 144551004 289102008