Search a number
-
+
605248 = 2672193
BaseRepresentation
bin10010011110001000000
31010202020121
42103301000
5123331443
620550024
75100400
oct2236100
91122217
10605248
11383806
12252314
13182647
1411a800
15be4ed
hex93c40

605248 has 42 divisors (see below), whose sum is σ = 1404366. Its totient is φ = 258048.

The previous prime is 605239. The next prime is 605249. The reversal of 605248 is 842506.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 153664 = 672^2 + 392^2 .

It is not an unprimeable number, because it can be changed into a prime (605249) by changing a digit.

605248 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3040 + ... + 3232.

2605248 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 605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702183).

605248 is an abundant number, since it is smaller than the sum of its proper divisors (799118).

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

605248 is a wasteful number, since it uses less digits than its factorization.

605248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 605248 is about 777.9768634092. The cubic root of 605248 is about 84.5884605163.

The spelling of 605248 in words is "six hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 193 196 224 386 392 448 772 784 1351 1544 1568 2702 3088 3136 5404 6176 9457 10808 12352 18914 21616 37828 43232 75656 86464 151312 302624 605248