Search a number
-
+
889812 = 2233711107
BaseRepresentation
bin11011001001111010100
31200012121000
43121033110
5211433222
631023300
710364130
oct3311724
91605530
10889812
11558590
1236ab30
13252021
141923c0
151289ac
hexd93d4

889812 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 228960.

The previous prime is 889783. The next prime is 889829. The reversal of 889812 is 218988.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

889812 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8263 + ... + 8369.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2889812 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 889812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

889812 is an abundant number, since it is smaller than the sum of its proper divisors (2013228).

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

889812 is a wasteful number, since it uses less digits than its factorization.

889812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 889812 is about 943.2984681425. The cubic root of 889812 is about 96.1832437538.

The spelling of 889812 in words is "eight hundred eighty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 107 108 126 132 154 189 198 214 231 252 297 308 321 378 396 428 462 594 642 693 749 756 924 963 1177 1188 1284 1386 1498 1926 2079 2247 2354 2772 2889 2996 3531 3852 4158 4494 4708 5778 6741 7062 8239 8316 8988 10593 11556 13482 14124 16478 20223 21186 24717 26964 31779 32956 40446 42372 49434 63558 74151 80892 98868 127116 148302 222453 296604 444906 889812