Search a number
-
+
675882648 = 233272635099
BaseRepresentation
bin101000010010010…
…010011010011000
31202002210101200200
4220102102122120
52341011221043
6151022302200
722514623230
oct5022223230
91662711620
10675882648
11317577701
1216a427960
13aa046b7c
1465a9acc0
153e50b7d3
hex28492698

675882648 has 96 divisors (see below), whose sum is σ = 2100384000. Its totient is φ = 192337344.

The previous prime is 675882631. The next prime is 675882689. The reversal of 675882648 is 846288576.

It is a junction number, because it is equal to n+sod(n) for n = 675882594 and 675882603.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 130003 + ... + 135101.

It is an arithmetic number, because the mean of its divisors is an integer number (21879000).

Almost surely, 2675882648 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 675882648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050192000).

675882648 is an abundant number, since it is smaller than the sum of its proper divisors (1424501352).

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

675882648 is a wasteful number, since it uses less digits than its factorization.

675882648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381 (or 5374 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 675882648 is about 25997.7431328183. The cubic root of 675882648 is about 877.5875072836.

The spelling of 675882648 in words is "six hundred seventy-five million, eight hundred eighty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 263 504 526 789 1052 1578 1841 2104 2367 3156 3682 4734 5099 5523 6312 7364 9468 10198 11046 14728 15297 16569 18936 20396 22092 30594 33138 35693 40792 44184 45891 61188 66276 71386 91782 107079 122376 132552 142772 183564 214158 285544 321237 367128 428316 642474 856632 1284948 1341037 2569896 2682074 4023111 5364148 8046222 9387259 10728296 12069333 16092444 18774518 24138666 28161777 32184888 37549036 48277332 56323554 75098072 84485331 96554664 112647108 168970662 225294216 337941324 675882648