| Base | Representation |
|---|---|
| bin | 10111100001000… |
| … | …00001000000000 |
| 3 | 111202012001011100 |
| 4 | 23300200020000 |
| 5 | 400444420442 |
| 6 | 31324014400 |
| 7 | 4613500221 |
| oct | 1360401000 |
| 9 | 452161140 |
| 10 | 197263872 |
| 11 | a13942a3 |
| 12 | 56091400 |
| 13 | 31b39ab0 |
| 14 | 1c2ad248 |
| 15 | 124b884c |
| hex | bc20200 |
197263872 has 240 divisors, whose sum is σ = 636756120. Its totient is φ = 58392576.
The previous prime is 197263823. The next prime is 197263877. The reversal of 197263872 is 278362791.
197263872 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 638 + 7 + 2 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 147476736 + 49787136 = 12144^2 + 7056^2 .
Its product of digits (254016) is a multiple of the sum of its prime divisors (144).
It is not an unprimeable number, because it can be changed into a prime (197263877) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2216404 + ... + 2216492.
Almost surely, 2197263872 is an apocalyptic number.
197263872 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 197263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318378060).
197263872 is an abundant number, since it is smaller than the sum of its proper divisors (439492248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
197263872 is a wasteful number, since it uses less digits than its factorization.
197263872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163 (or 144 counting only the distinct ones).
The product of its digits is 254016, while the sum is 45.
The square root of 197263872 is about 14045.0657527831. The cubic root of 197263872 is about 582.1244641165.
It can be divided in two parts, 197263 and 872, that added together give a triangular number (198135 = T629).
The spelling of 197263872 in words is "one hundred ninety-seven million, two hundred sixty-three thousand, eight hundred seventy-two".
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