Base | Representation |
---|---|
bin | 100101011111110… |
… | …101110001110000 |
3 | 1121211202210002002 |
4 | 211133311301300 |
5 | 2242022304403 |
6 | 142231513132 |
7 | 21406202441 |
oct | 4537656160 |
9 | 1554683062 |
10 | 629103728 |
11 | 2a3126a40 |
12 | 1568287a8 |
13 | a0448936 |
14 | 5d7a12c8 |
15 | 3a36b188 |
hex | 257f5c70 |
629103728 has 120 divisors (see below), whose sum is σ = 1444126320. Its totient is φ = 262958080.
The previous prime is 629103721. The next prime is 629103743. The reversal of 629103728 is 827301926.
It is a junction number, because it is equal to n+sod(n) for n = 629103691 and 629103700.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (629103721) 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 23 ways as a sum of consecutive naturals, for example, 2699900 + ... + 2700132.
It is an arithmetic number, because the mean of its divisors is an integer number (12034386).
Almost surely, 2629103728 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 629103728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722063160).
629103728 is an abundant number, since it is smaller than the sum of its proper divisors (815022592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
629103728 is a wasteful number, since it uses less digits than its factorization.
629103728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 327 (or 298 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 38.
The square root of 629103728 is about 25081.9402758240. The cubic root of 629103728 is about 856.8551662864.
The spelling of 629103728 in words is "six hundred twenty-nine million, one hundred three thousand, seven hundred twenty-eight".
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