Base | Representation |
---|---|
bin | 100110101101011… |
… | …001111010100000 |
3 | 1200021000210212000 |
4 | 212231121322200 |
5 | 2312223434312 |
6 | 144235404000 |
7 | 22044056562 |
oct | 4655317240 |
9 | 1607023760 |
10 | 649436832 |
11 | 303654560 |
12 | 1615b3600 |
13 | a4717865 |
14 | 62375332 |
15 | 3c035adc |
hex | 26b59ea0 |
649436832 has 192 divisors, whose sum is σ = 2156958720. Its totient is φ = 188179200.
The previous prime is 649436813. The next prime is 649436833. The reversal of 649436832 is 238634946.
649436832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (649436833) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217107 + ... + 220077.
It is an arithmetic number, because the mean of its divisors is an integer number (11234160).
Almost surely, 2649436832 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 649436832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078479360).
649436832 is an abundant number, since it is smaller than the sum of its proper divisors (1507521888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
649436832 is a wasteful number, since it uses less digits than its factorization.
649436832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3024 (or 3010 counting only the distinct ones).
The product of its digits is 746496, while the sum is 45.
The square root of 649436832 is about 25484.0505414661. The cubic root of 649436832 is about 865.9888596476.
The spelling of 649436832 in words is "six hundred forty-nine million, four hundred thirty-six thousand, eight hundred thirty-two".
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