Base | Representation |
---|---|
bin | 10111000110011… |
… | …11010001110000 |
3 | 111111122101210000 |
4 | 23203033101300 |
5 | 344102140432 |
6 | 31121310000 |
7 | 4542106440 |
oct | 1343172160 |
9 | 444571700 |
10 | 193786992 |
11 | 9a42a043 |
12 | 54a95300 |
13 | 311c0379 |
14 | 1ba46120 |
15 | 1202d57c |
hex | b8cf470 |
193786992 has 200 divisors, whose sum is σ = 657895392. Its totient is φ = 53913600.
The previous prime is 193786991. The next prime is 193786993. The reversal of 193786992 is 299687391.
193786992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (193786991) and next prime (193786993).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (193786991) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371692 + ... + 372212.
Almost surely, 2193786992 is an apocalyptic number.
193786992 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 193786992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328947696).
193786992 is an abundant number, since it is smaller than the sum of its proper divisors (464108400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
193786992 is a wasteful number, since it uses less digits than its factorization.
193786992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 589 (or 574 counting only the distinct ones).
The product of its digits is 1469664, while the sum is 54.
The square root of 193786992 is about 13920.7396355222. The cubic root of 193786992 is about 578.6840876443.
The spelling of 193786992 in words is "one hundred ninety-three million, seven hundred eighty-six thousand, nine hundred ninety-two".
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