| Base | Representation |
|---|---|
| bin | 10111011111011… |
| … | …01110110100000 |
| 3 | 111201210120200200 |
| 4 | 23233231312200 |
| 5 | 400421323302 |
| 6 | 31315345200 |
| 7 | 4611651660 |
| oct | 1357556640 |
| 9 | 451716620 |
| 10 | 197057952 |
| 11 | a1263613 |
| 12 | 55bb2200 |
| 13 | 31a97150 |
| 14 | 1c2581a0 |
| 15 | 1247781c |
| hex | bbedda0 |
197057952 has 288 divisors, whose sum is σ = 705938688. Its totient is φ = 50761728.
The previous prime is 197057933. The next prime is 197057953. The reversal of 197057952 is 259750791.
197057952 is a `hidden beast` number, since 1 + 9 + 70 + 579 + 5 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a zygodrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 197057898 and 197057907.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (197057953) 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, 1913133 + ... + 1913235.
It is an arithmetic number, because the mean of its divisors is an integer number (2451176).
Almost surely, 2197057952 is an apocalyptic number.
197057952 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 197057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352969344).
197057952 is an abundant number, since it is smaller than the sum of its proper divisors (508880736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
197057952 is a wasteful number, since it uses less digits than its factorization.
197057952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 212 (or 201 counting only the distinct ones).
The product of its (nonzero) digits is 198450, while the sum is 45.
The square root of 197057952 is about 14037.7331503345. The cubic root of 197057952 is about 581.9218373794.
The spelling of 197057952 in words is "one hundred ninety-seven million, fifty-seven thousand, nine hundred fifty-two".
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