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360166482 = 2321353113257
BaseRepresentation
bin10101011101111…
…011010001010010
3221002201100112100
4111131323101102
51214200311412
655423341230
711632236024
oct2535732122
9832640470
10360166482
11175339455
12a0751816
1359805780
1435b96014
1521945edc
hex1577b452

360166482 has 96 divisors (see below), whose sum is σ = 867183408. Its totient is φ = 107347968.

The previous prime is 360166439. The next prime is 360166487. The reversal of 360166482 is 284661063.

360166482 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 6 + 648 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 152547201 + 207619281 = 12351^2 + 14409^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (360166487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1401298 + ... + 1401554.

Almost surely, 2360166482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360166482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433591704).

360166482 is an abundant number, since it is smaller than the sum of its proper divisors (507016926).

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

360166482 is a wasteful number, since it uses less digits than its factorization.

360166482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 360166482 is about 18978.0526398258. The cubic root of 360166482 is about 711.4883030190.

The spelling of 360166482 in words is "three hundred sixty million, one hundred sixty-six thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 113 117 159 226 234 257 318 339 477 514 678 689 771 954 1017 1378 1469 1542 2034 2067 2313 2938 3341 4134 4407 4626 5989 6201 6682 8814 10023 11978 12402 13221 13621 17967 20046 26442 27242 29041 30069 35934 40863 53901 58082 60138 77857 81726 87123 107802 122589 155714 174246 177073 233571 245178 261369 354146 377533 467142 522738 531219 700713 755066 1062438 1132599 1401426 1539173 1593657 2265198 3078346 3187314 3397797 4617519 6795594 9235038 13852557 20009249 27705114 40018498 60027747 120055494 180083241 360166482