Search a number
-
+
706482 = 2347289
BaseRepresentation
bin10101100011110110010
31022220010000
42230132302
5140101412
623050430
76001500
oct2543662
91286100
10706482
11442877
122a0a16
131b974a
14145670
15de4dc
hexac7b2

706482 has 60 divisors (see below), whose sum is σ = 1862190. Its totient is φ = 199584.

The previous prime is 706481. The next prime is 706487. The reversal of 706482 is 284607.

It can be written as a sum of positive squares in only one way, i.e., 670761 + 35721 = 819^2 + 189^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (706481) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 7894 + ... + 7982.

2706482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931095).

706482 is an abundant number, since it is smaller than the sum of its proper divisors (1155708).

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

706482 is a wasteful number, since it uses less digits than its factorization.

706482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 706482 is about 840.5248360400. The cubic root of 706482 is about 89.0636249165.

Subtracting from 706482 its reverse (284607), we obtain a cube (421875 = 753).

The spelling of 706482 in words is "seven hundred six thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 89 98 126 147 162 178 189 267 294 378 441 534 567 623 801 882 1134 1246 1323 1602 1869 2403 2646 3738 3969 4361 4806 5607 7209 7938 8722 11214 13083 14418 16821 26166 33642 39249 50463 78498 100926 117747 235494 353241 706482