Base | Representation |
---|---|
bin | 111101000000101… |
… | …0010001011001010 |
3 | 12021200002100101100 |
4 | 1322001102023022 |
5 | 13143033010223 |
6 | 535045402230 |
7 | 101505355401 |
oct | 17201221312 |
9 | 5250070340 |
10 | 2047156938 |
11 | 960626342 |
12 | 491709376 |
13 | 268178688 |
14 | 155c52638 |
15 | beaca043 |
hex | 7a0522ca |
2047156938 has 48 divisors (see below), whose sum is σ = 4676162400. Its totient is φ = 645472800.
The previous prime is 2047156897. The next prime is 2047156961. The reversal of 2047156938 is 8396517402.
2047156938 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
2047156938 is strictly pandigital in base 10.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 2047156893 and 2047156902.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 235473 + ... + 244011.
It is an arithmetic number, because the mean of its divisors is an integer number (97420050).
It is a 1-persistent number, because it is pandigital, but 2⋅2047156938 = 4094313876 is not.
Almost surely, 22047156938 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2047156938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338081200).
2047156938 is an abundant number, since it is smaller than the sum of its proper divisors (2629005462).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2047156938 is a wasteful number, since it uses less digits than its factorization.
2047156938 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9267 (or 9264 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 2047156938 is about 45245.5184300059. The cubic root of 2047156938 is about 1269.7465627748.
The spelling of 2047156938 in words is "two billion, forty-seven million, one hundred fifty-six thousand, nine hundred thirty-eight".
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