Search a number
-
+
289082112 = 28311191801
BaseRepresentation
bin10001001110110…
…000101100000000
3202010221220002220
4101032300230000
51043001111422
644404011040
710110104664
oct2116605400
9663856086
10289082112
111391a7740
1280990a80
1347b77507
142a5708a4
151a5a3e5c
hex113b0b00

289082112 has 144 divisors (see below), whose sum is σ = 883989120. Its totient is φ = 82944000.

The previous prime is 289082107. The next prime is 289082113. The reversal of 289082112 is 211280982.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (289082113) 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, 159612 + ... + 161412.

Almost surely, 2289082112 is an apocalyptic number.

289082112 is a gapful number since it is divisible by the number (22) 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 289082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441994560).

289082112 is an abundant number, since it is smaller than the sum of its proper divisors (594907008).

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

289082112 is a wasteful number, since it uses less digits than its factorization.

289082112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 289082112 is about 17002.4148873035. The cubic root of 289082112 is about 661.2115121317.

The spelling of 289082112 in words is "two hundred eighty-nine million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 528 608 627 704 768 836 912 1056 1216 1254 1408 1672 1801 1824 2112 2432 2508 2816 3344 3602 3648 4224 4864 5016 5403 6688 7204 7296 8448 10032 10806 13376 14408 14592 19811 20064 21612 26752 28816 34219 39622 40128 43224 53504 57632 59433 68438 79244 80256 86448 102657 115264 118866 136876 158488 160512 172896 205314 230528 237732 273752 316976 345792 376409 410628 461056 475464 547504 633952 691584 752818 821256 950928 1095008 1129227 1267904 1383168 1505636 1642512 1901856 2190016 2258454 2535808 3011272 3285024 3803712 4380032 4516908 5071616 6022544 6570048 7607424 8760064 9033816 12045088 13140096 15214848 18067632 24090176 26280192 36135264 48180352 72270528 96360704 144541056 289082112