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395282412 = 223272297727
BaseRepresentation
bin10111100011111…
…000011111101100
31000112210102112100
4113203320133230
51302143014122
6103120135100
712536562600
oct2743703754
91015712470
10395282412
11193143588
12b0467490
1363b7c225
143a6d7500
1524a80aac
hex178f87ec

395282412 has 108 divisors (see below), whose sum is σ = 1202554080. Its totient is φ = 109029312.

The previous prime is 395282341. The next prime is 395282417. The reversal of 395282412 is 214282593.

It is a happy number.

395282412 is a `hidden beast` number, since 395 + 28 + 241 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (395282417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47293 + ... + 55019.

It is an arithmetic number, because the mean of its divisors is an integer number (11134760).

Almost surely, 2395282412 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 395282412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601277040).

395282412 is an abundant number, since it is smaller than the sum of its proper divisors (807271668).

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

395282412 is a wasteful number, since it uses less digits than its factorization.

395282412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7780 (or 7768 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 395282412 is about 19881.7104897944. The cubic root of 395282412 is about 733.8982131596.

The spelling of 395282412 in words is "three hundred ninety-five million, two hundred eighty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 7727 8526 12789 15454 17052 23181 25578 30908 46362 51156 54089 69543 92724 108178 139086 162267 216356 224083 278172 324534 378623 448166 486801 649068 672249 757246 896332 973602 1135869 1344498 1514492 1568581 1947204 2016747 2271738 2688996 3137162 3407607 4033494 4543476 4705743 6274324 6815214 8066988 9411486 10980067 13630428 14117229 18822972 21960134 28234458 32940201 43920268 56468916 65880402 98820603 131760804 197641206 395282412