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197872272 = 243213105701
BaseRepresentation
bin10111100101101…
…00101010010000
3111210022221201200
423302310222100
5401123403042
631345031200
74621613043
oct1362645220
9453287650
10197872272
11a176a404
1256325500
1331cc09b0
141c3cac5a
1512588c4c
hexbcb4a90

197872272 has 60 divisors (see below), whose sum is σ = 596370684. Its totient is φ = 60883200.

The previous prime is 197872271. The next prime is 197872291. The reversal of 197872272 is 272278791.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 165791376 = 5664^2 + 12876^2 .

It is not an unprimeable number, because it can be changed into a prime (197872271) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 50979 + ... + 54722.

Almost surely, 2197872272 is an apocalyptic number.

197872272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

197872272 is an abundant number, since it is smaller than the sum of its proper divisors (398498412).

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

197872272 is a wasteful number, since it uses less digits than its factorization.

197872272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105728 (or 105719 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 197872272 is about 14066.7079304292. The cubic root of 197872272 is about 582.7223114550.

The spelling of 197872272 in words is "one hundred ninety-seven million, eight hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 105701 211402 317103 422804 634206 845608 951309 1268412 1374113 1691216 1902618 2536824 2748226 3805236 4122339 5073648 5496452 7610472 8244678 10992904 12367017 15220944 16489356 21985808 24734034 32978712 49468068 65957424 98936136 197872272