Search a number
-
+
245718 = 232111773
BaseRepresentation
bin111011111111010110
3110111001200
4323333112
530330333
65133330
72042244
oct737726
9414050
10245718
11158680
12ba246
1387ac5
1465794
154cc13
hex3bfd6

245718 has 48 divisors (see below), whose sum is σ = 623376. Its totient is φ = 69120.

The previous prime is 245711. The next prime is 245719. The reversal of 245718 is 817542.

It is a junction number, because it is equal to n+sod(n) for n = 245691 and 245700.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 245718.

It is not an unprimeable number, because it can be changed into a prime (245711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3330 + ... + 3402.

It is an arithmetic number, because the mean of its divisors is an integer number (12987).

245718 is a Friedman number, since it can be written as 51*(8+7^4)*2, using all its digits and the basic arithmetic operations.

2245718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311688).

245718 is an abundant number, since it is smaller than the sum of its proper divisors (377658).

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

245718 is a wasteful number, since it uses less digits than its factorization.

245718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 245718 is about 495.6995057492. The cubic root of 245718 is about 62.6343138167.

The spelling of 245718 in words is "two hundred forty-five thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 73 99 102 146 153 187 198 219 306 374 438 561 657 803 1122 1241 1314 1606 1683 2409 2482 3366 3723 4818 7227 7446 11169 13651 14454 22338 27302 40953 81906 122859 245718