Search a number
-
+
675245688 = 233133116959
BaseRepresentation
bin101000001111110…
…110111001111000
31202001121000221120
4220033312321320
52340330330223
6151000505240
722506331215
oct5017667170
91661530846
10675245688
11317182097
1216a17b220
13a9b82c80
1465972b0c
153e432be3
hex283f6e78

675245688 has 64 divisors (see below), whose sum is σ = 1824076800. Its totient is φ = 207070080.

The previous prime is 675245677. The next prime is 675245699. The reversal of 675245688 is 886542576.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (675245677) and next prime (675245699).

It is a self number, because there is not a number n which added to its sum of digits gives 675245688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93553 + ... + 100511.

It is an arithmetic number, because the mean of its divisors is an integer number (28501200).

Almost surely, 2675245688 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 675245688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912038400).

675245688 is an abundant number, since it is smaller than the sum of its proper divisors (1148831112).

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

675245688 is a wasteful number, since it uses less digits than its factorization.

675245688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7292 (or 7288 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 675245688 is about 25985.4899511246. The cubic root of 675245688 is about 877.3117376011.

The spelling of 675245688 in words is "six hundred seventy-five million, two hundred forty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 311 312 622 933 1244 1866 2488 3732 4043 6959 7464 8086 12129 13918 16172 20877 24258 27836 32344 41754 48516 55672 83508 90467 97032 167016 180934 271401 361868 542802 723736 1085604 2164249 2171208 4328498 6492747 8656996 12985494 17313992 25970988 28135237 51941976 56270474 84405711 112540948 168811422 225081896 337622844 675245688