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667275336 = 2332721314549
BaseRepresentation
bin100111110001011…
…101000001001000
31201111121002200100
4213301131001020
52331310302321
6150114005400
722351514100
oct4761350110
91644532610
10667275336
11312728922
12167576860
13a83221a0
146489a200
153d8ab326
hex27c5d048

667275336 has 144 divisors (see below), whose sum is σ = 2264125500. Its totient is φ = 175972608.

The previous prime is 667275331. The next prime is 667275337. The reversal of 667275336 is 633572766.

It can be written as a sum of positive squares in 2 ways, for example, as 667188900 + 86436 = 25830^2 + 294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 667275291 and 667275300.

It is not an unprimeable number, because it can be changed into a prime (667275331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38590 + ... + 53138.

Almost surely, 2667275336 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 667275336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132062750).

667275336 is an abundant number, since it is smaller than the sum of its proper divisors (1596850164).

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

667275336 is a wasteful number, since it uses less digits than its factorization.

667275336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588 (or 14574 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The square root of 667275336 is about 25831.6731165443. The cubic root of 667275336 is about 873.8462446862.

The spelling of 667275336 in words is "six hundred sixty-seven million, two hundred seventy-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 14549 15288 22932 29098 43647 45864 58196 87294 101843 116392 130941 174588 189137 203686 261882 305529 349176 378274 407372 523764 567411 611058 712901 756548 814744 916587 1047528 1134822 1222116 1323959 1425802 1513096 1702233 1833174 2138703 2269644 2444232 2647918 2851604 3404466 3666348 3971877 4277406 4539288 5295836 5703208 6416109 6808932 7332696 7943754 8554812 9267713 10591672 11915631 12832218 13617864 15887508 17109624 18535426 23831262 25664436 27803139 31775016 37070852 47662524 51328872 55606278 74141704 83409417 95325048 111212556 166818834 222425112 333637668 667275336