Base | Representation |
---|---|
bin | 100000100101100… |
… | …110001110100000 |
3 | 1102002202121012100 |
4 | 200211212032200 |
5 | 2104430224231 |
6 | 130130130400 |
7 | 16356046506 |
oct | 4045461640 |
9 | 1362677170 |
10 | 546726816 |
11 | 260681a49 |
12 | 133120a00 |
13 | 893656bc |
14 | 5287a676 |
15 | 32ee81e6 |
hex | 209663a0 |
546726816 has 72 divisors (see below), whose sum is σ = 1561403844. Its totient is φ = 181463040.
The previous prime is 546726809. The next prime is 546726833. The reversal of 546726816 is 618627645.
546726816 is a `hidden beast` number, since 546 + 7 + 26 + 81 + 6 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 544755600 + 1971216 = 23340^2 + 1404^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×5467268162 = 597820422666995712, which contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65470 + ... + 73346.
Almost surely, 2546726816 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 546726816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780701922).
546726816 is an abundant number, since it is smaller than the sum of its proper divisors (1014677028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
546726816 is a wasteful number, since it uses less digits than its factorization.
546726816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8134 (or 8123 counting only the distinct ones).
The product of its digits is 483840, while the sum is 45.
The square root of 546726816 is about 23382.1901454932. The cubic root of 546726816 is about 817.6927088268.
The spelling of 546726816 in words is "five hundred forty-six million, seven hundred twenty-six thousand, eight hundred sixteen".
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