Base | Representation |
---|---|
bin | 10001010110011… |
… | …000100000000000 |
3 | 202021201101221212 |
4 | 101112120200000 |
5 | 1044004031232 |
6 | 44514505252 |
7 | 10133066204 |
oct | 2126304000 |
9 | 667641855 |
10 | 291080192 |
11 | 13a341947 |
12 | 81595228 |
13 | 483c6b00 |
14 | 2a930b04 |
15 | 1a84aeb2 |
hex | 11598800 |
291080192 has 108 divisors (see below), whose sum is σ = 652714335. Its totient is φ = 129712128.
The previous prime is 291080189. The next prime is 291080261.
Added to its reverse (291080192) it gives a square (582160384 = 241282).
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
291080192 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 5 ways, for example, as 48219136 + 242861056 = 6944^2 + 15584^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=12064.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10037234 + ... + 10037262.
Almost surely, 2291080192 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 291080192
291080192 is an abundant number, since it is smaller than the sum of its proper divisors (361634143).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
291080192 is an equidigital number, since it uses as much as digits as its factorization.
291080192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 106 (or 44 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 32.
The square root of 291080192 is about 17061.0724164690. The cubic root of 291080192 is about 662.7314047215.
Multiplying 291080192 by its sum of digits (32), we get a square (9314566144 = 965122).
291080192 divided by its sum of digits (32) gives a square (9096256 = 30162).
Multiplying 291080192 by its product of nonzero digits (2592), we get a square (754479857664 = 8686082).
The spelling of 291080192 in words is "two hundred ninety-one million, eighty thousand, one hundred ninety-two".
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