Search a number
-
+
245232 = 243213131
BaseRepresentation
bin111011110111110000
3110110101200
4323313300
530321412
65131200
72040651
oct736760
9413350
10245232
11158279
12b9b00
1387810
1465528
154c9dc
hex3bdf0

245232 has 60 divisors (see below), whose sum is σ = 744744. Its totient is φ = 74880.

The previous prime is 245209. The next prime is 245251. The reversal of 245232 is 232542.

245232 = 83 + 93 + ... + 313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

245232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1807 + ... + 1937.

2245232 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 245232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372372).

245232 is an abundant number, since it is smaller than the sum of its proper divisors (499512).

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

245232 is a wasteful number, since it uses less digits than its factorization.

245232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 245232 is about 495.2090467671. The cubic root of 245232 is about 62.5929922371.

Adding to 245232 its reverse (232542), we get a palindrome (477774).

The spelling of 245232 in words is "two hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 131 144 156 208 234 262 312 393 468 524 624 786 936 1048 1179 1572 1703 1872 2096 2358 3144 3406 4716 5109 6288 6812 9432 10218 13624 15327 18864 20436 27248 30654 40872 61308 81744 122616 245232