Search a number
-
+
289331880 = 23358927091
BaseRepresentation
bin10001001111101…
…101101010101000
3202011102120201120
4101033231222220
51043032110010
644413215240
710112165115
oct2117555250
9664376646
10289331880
11139358362
1280a91520
1347c340c6
142a5d790c
151a602e70
hex113edaa8

289331880 has 64 divisors (see below), whose sum is σ = 877780800. Its totient is φ = 76285440.

The previous prime is 289331873. The next prime is 289331909. The reversal of 289331880 is 88133982.

289331880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2866 + ... + 24225.

It is an arithmetic number, because the mean of its divisors is an integer number (13715325).

Almost surely, 2289331880 is an apocalyptic number.

289331880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289331880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438890400).

289331880 is an abundant number, since it is smaller than the sum of its proper divisors (588448920).

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

289331880 is a wasteful number, since it uses less digits than its factorization.

289331880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27194 (or 27190 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 289331880 is about 17009.7583757089. The cubic root of 289331880 is about 661.4018870341.

The spelling of 289331880 in words is "two hundred eighty-nine million, three hundred thirty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 27091 54182 81273 108364 135455 162546 216728 270910 325092 406365 541820 650184 812730 1083640 1625460 2411099 3250920 4822198 7233297 9644396 12055495 14466594 19288792 24110990 28933188 36166485 48221980 57866376 72332970 96443960 144665940 289331880