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163488906 = 23276189239
BaseRepresentation
bin10011011111010…
…10010010001010
3102101122002121200
421233222102022
5313323121111
624120045030
74023430020
oct1157522212
9371562550
10163488906
11843156a9
1246903776
1327b427c9
14179da710
15e546256
hex9bea48a

163488906 has 96 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 45239040.

The previous prime is 163488893. The next prime is 163488907. The reversal of 163488906 is 609884361.

163488906 is a `hidden beast` number, since 1 + 634 + 8 + 8 + 9 + 0 + 6 = 666.

163488906 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (163488907) 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, 683935 + ... + 684173.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2163488906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163488906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

163488906 is an abundant number, since it is smaller than the sum of its proper divisors (254341494).

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

163488906 is a wasteful number, since it uses less digits than its factorization.

163488906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 163488906 is about 12786.2780354566. The cubic root of 163488906 is about 546.8011625416.

The spelling of 163488906 in words is "one hundred sixty-three million, four hundred eighty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 89 122 126 178 183 239 267 366 427 478 534 549 623 717 801 854 1098 1246 1281 1434 1602 1673 1869 2151 2562 3346 3738 3843 4302 5019 5429 5607 7686 10038 10858 11214 14579 15057 16287 21271 29158 30114 32574 38003 42542 43737 48861 63813 76006 87474 97722 102053 114009 127626 131211 148897 191439 204106 228018 262422 297794 306159 342027 382878 446691 612318 684054 893382 918477 1297531 1340073 1836954 2595062 2680146 3892593 7785186 9082717 11677779 18165434 23355558 27248151 54496302 81744453 163488906