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195973272 = 233211349709
BaseRepresentation
bin10111010111001…
…01000010011000
3111122202110210100
423223211002120
5400132121042
631240215400
74566513435
oct1353450230
9448673710
10195973272
11a0692690
125576a560
13317a7521
141c054b8c
151231124c
hexbae5098

195973272 has 96 divisors (see below), whose sum is σ = 581490000. Its totient is φ = 59132160.

The previous prime is 195973243. The next prime is 195973303. The reversal of 195973272 is 272379591.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276054 + ... + 276762.

Almost surely, 2195973272 is an apocalyptic number.

195973272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195973272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290745000).

195973272 is an abundant number, since it is smaller than the sum of its proper divisors (385516728).

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

195973272 is a wasteful number, since it uses less digits than its factorization.

195973272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1074 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 195973272 is about 13999.0453960261. The cubic root of 195973272 is about 580.8521678661.

The spelling of 195973272 in words is "one hundred ninety-five million, nine hundred seventy-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 349 396 698 709 792 1047 1396 1418 2094 2127 2792 2836 3141 3839 4188 4254 5672 6282 6381 7678 7799 8376 8508 11517 12564 12762 15356 15598 17016 23034 23397 25128 25524 30712 31196 34551 46068 46794 51048 62392 69102 70191 92136 93588 138204 140382 187176 247441 276408 280764 494882 561528 742323 989764 1484646 1979528 2226969 2721851 2969292 4453938 5443702 5938584 8165553 8907876 10887404 16331106 17815752 21774808 24496659 32662212 48993318 65324424 97986636 195973272