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189133182 = 232719199397
BaseRepresentation
bin10110100010111…
…11000101111110
3111011212221221200
423101133011332
5341404230212
630433440330
74454414460
oct1321370576
9434787850
10189133182
1197840617
12534100a6
1330251034
141b194130
151190e6dc
hexb45f17e

189133182 has 96 divisors (see below), whose sum is σ = 496704000. Its totient is φ = 50808384.

The previous prime is 189133169. The next prime is 189133187. The reversal of 189133182 is 281331981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189133187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476208 + ... + 476604.

It is an arithmetic number, because the mean of its divisors is an integer number (5174000).

Almost surely, 2189133182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189133182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248352000).

189133182 is an abundant number, since it is smaller than the sum of its proper divisors (307570818).

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

189133182 is a wasteful number, since it uses less digits than its factorization.

189133182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 627 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 189133182 is about 13752.5700143646. The cubic root of 189133182 is about 574.0141210656.

The spelling of 189133182 in words is "one hundred eighty-nine million, one hundred thirty-three thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 199 266 342 397 398 399 597 794 798 1191 1194 1197 1393 1791 2382 2394 2779 2786 3573 3582 3781 4179 5558 7146 7543 7562 8337 8358 11343 12537 15086 16674 22629 22686 25011 25074 26467 34029 45258 50022 52801 52934 67887 68058 79003 79401 105602 135774 158006 158403 158802 237009 238203 316806 474018 475209 476406 553021 711027 950418 1106042 1422054 1501057 1659063 3002114 3318126 4503171 4977189 9006342 9954378 10507399 13509513 21014798 27019026 31522197 63044394 94566591 189133182