Search a number
-
+
289656 = 2335149
BaseRepresentation
bin1000110101101111000
3112201100000
41012231320
533232111
610113000
72314323
oct1065570
9481300
10289656
11188694
1211b760
13a1ac3
14777ba
155ac56
hex46b78

289656 has 48 divisors (see below), whose sum is σ = 819000. Its totient is φ = 95904.

The previous prime is 289643. The next prime is 289657. The reversal of 289656 is 656982.

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

It is a d-powerful number, because it can be written as 218 + 84 + 6 + 9 + 56 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 289656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1870 + ... + 2018.

2289656 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 289656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409500).

289656 is an abundant number, since it is smaller than the sum of its proper divisors (529344).

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

289656 is a wasteful number, since it uses less digits than its factorization.

289656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 289656 is about 538.1969899581. The cubic root of 289656 is about 66.1648770278.

The spelling of 289656 in words is "two hundred eighty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 243 298 324 447 486 596 648 894 972 1192 1341 1788 1944 2682 3576 4023 5364 8046 10728 12069 16092 24138 32184 36207 48276 72414 96552 144828 289656