Base | Representation |
---|---|
bin | 10001010110011… |
… | …101100101000000 |
3 | 202021202110111020 |
4 | 101112131211000 |
5 | 1044010212432 |
6 | 44515145440 |
7 | 10133213640 |
oct | 2126354500 |
9 | 667673436 |
10 | 291100992 |
11 | 13a356536 |
12 | 815a5280 |
13 | 48403410 |
14 | 2a938520 |
15 | 1a85222c |
hex | 1159d940 |
291100992 has 112 divisors (see below), whose sum is σ = 948001152. Its totient is φ = 76769280.
The previous prime is 291100991. The next prime is 291101023. The reversal of 291100992 is 299001192.
291100992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (291100991) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9142 + ... + 25802.
It is an arithmetic number, because the mean of its divisors is an integer number (8464296).
Almost surely, 2291100992 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 291100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474000576).
291100992 is an abundant number, since it is smaller than the sum of its proper divisors (656900160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
291100992 is a wasteful number, since it uses less digits than its factorization.
291100992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16696 (or 16686 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 33.
The square root of 291100992 is about 17061.6819803910. The cubic root of 291100992 is about 662.7471901594.
The spelling of 291100992 in words is "two hundred ninety-one million, one hundred thousand, nine hundred ninety-two".
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