Base | Representation |
---|---|
bin | 100101011100100… |
… | …010111010100000 |
3 | 1121210010220022100 |
4 | 211130202322200 |
5 | 2241312140112 |
6 | 142201210400 |
7 | 21365644410 |
oct | 4534427240 |
9 | 1553126270 |
10 | 628240032 |
11 | 2a2697042 |
12 | 156490a00 |
13 | a0205784 |
14 | 5d618640 |
15 | 3a24a2dc |
hex | 25722ea0 |
628240032 has 288 divisors, whose sum is σ = 2258710272. Its totient is φ = 161390592.
The previous prime is 628240003. The next prime is 628240033. The reversal of 628240032 is 230042826.
628240032 is a `hidden beast` number, since 628 + 2 + 4 + 0 + 0 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×6282400322 = 789371075614722048, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 628239978 and 628240005.
It is not an unprimeable number, because it can be changed into a prime (628240033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787858 + ... + 788654.
It is an arithmetic number, because the mean of its divisors is an integer number (7842744).
Almost surely, 2628240032 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 628240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129355136).
628240032 is an abundant number, since it is smaller than the sum of its proper divisors (1630470240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
628240032 is a wasteful number, since it uses less digits than its factorization.
628240032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 860 (or 849 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 628240032 is about 25064.7168745230. The cubic root of 628240032 is about 856.4628614447.
Adding to 628240032 its reverse (230042826), we get a palindrome (858282858).
The spelling of 628240032 in words is "six hundred twenty-eight million, two hundred forty thousand, thirty-two".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.150 sec. • engine limits •