Base | Representation |
---|---|
bin | 100110010010101… |
… | …110101111010110 |
3 | 1122202212112211100 |
4 | 212102232233112 |
5 | 2303431203441 |
6 | 143425450530 |
7 | 21630454203 |
oct | 4622565726 |
9 | 1582775740 |
10 | 642444246 |
11 | 2aa708964 |
12 | 15b1a0a46 |
13 | a3139b32 |
14 | 61474caa |
15 | 3b603cb6 |
hex | 264aebd6 |
642444246 has 96 divisors (see below), whose sum is σ = 1526934240. Its totient is φ = 194393088.
The previous prime is 642444241. The next prime is 642444251.
642444246 is a `hidden beast` number, since 642 + 4 + 4 + 4 + 2 + 4 + 6 = 666.
642444246 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (642444241) and next prime (642444251).
It is a self number, because there is not a number n which added to its sum of digits gives 642444246.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (642444241) 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, 2026480 + ... + 2026796.
It is an arithmetic number, because the mean of its divisors is an integer number (15905565).
Almost surely, 2642444246 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 642444246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763467120).
642444246 is an abundant number, since it is smaller than the sum of its proper divisors (884489994).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
642444246 is a wasteful number, since it uses less digits than its factorization.
642444246 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 558 (or 555 counting only the distinct ones).
The product of its digits is 147456, while the sum is 36.
The square root of 642444246 is about 25346.4838981662. The cubic root of 642444246 is about 862.8695590851.
The spelling of 642444246 in words is "six hundred forty-two million, four hundred forty-four thousand, two hundred forty-six".
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