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669444048 = 243371317029
BaseRepresentation
bin100111111001101…
…110011111010000
31201122200021121000
4213321232133100
52332334202143
6150232302000
722406115630
oct4771563720
91648607530
10669444048
1131397a249
12168241900
13a8901350
1464ca26c0
153db88bd3
hex27e6e7d0

669444048 has 160 divisors (see below), whose sum is σ = 2365126400. Its totient is φ = 176546304.

The previous prime is 669444047. The next prime is 669444067. The reversal of 669444048 is 840444966.

669444048 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 669443994 and 669444012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669444047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30798 + ... + 47826.

It is an arithmetic number, because the mean of its divisors is an integer number (14782040).

Almost surely, 2669444048 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 669444048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182563200).

669444048 is an abundant number, since it is smaller than the sum of its proper divisors (1695682352).

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

669444048 is a wasteful number, since it uses less digits than its factorization.

669444048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17066 (or 17054 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 669444048 is about 25873.6168325961. The cubic root of 669444048 is about 874.7919169961.

The spelling of 669444048 in words is "six hundred sixty-nine million, four hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 17029 19656 34058 39312 51087 68116 102174 119203 136232 153261 204348 221377 238406 272464 306522 357609 408696 442754 459783 476812 613044 664131 715218 817392 885508 919566 953624 1072827 1226088 1328262 1430436 1549639 1771016 1839132 1907248 1992393 2145654 2452176 2656524 2860872 3099278 3218481 3542032 3678264 3984786 4291308 4648917 5313048 5721744 5977179 6198556 6436962 7356528 7969572 8582616 9297834 10626096 11954358 12397112 12873924 13946751 15939144 17165232 18595668 23908716 24794224 25747848 27893502 31878288 37191336 41840253 47817432 51495696 55787004 74382672 83680506 95634864 111574008 167361012 223148016 334722024 669444048