Base | Representation |
---|---|
bin | 1111110111011… |
… | …1100010000000 |
3 | 11122020002021200 |
4 | 3331313202000 |
5 | 114014044023 |
6 | 10334221200 |
7 | 1435443666 |
oct | 375674200 |
9 | 148202250 |
10 | 66549888 |
11 | 34624a09 |
12 | 1a354800 |
13 | 10a31342 |
14 | 8ba4c36 |
15 | 5c98743 |
hex | 3f77880 |
66549888 has 96 divisors (see below), whose sum is σ = 196314300. Its totient is φ = 21626880.
The previous prime is 66549887. The next prime is 66549911. The reversal of 66549888 is 88894566.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 22353984 = 6648^2 + 4728^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (66549887) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46528 + ... + 47936.
Almost surely, 266549888 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 66549888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98157150).
66549888 is an abundant number, since it is smaller than the sum of its proper divisors (129764412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66549888 is a wasteful number, since it uses less digits than its factorization.
66549888 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1470 (or 1455 counting only the distinct ones).
The product of its digits is 3317760, while the sum is 54.
The square root of 66549888 is about 8157.8114712219. The cubic root of 66549888 is about 405.2432375161.
The spelling of 66549888 in words is "sixty-six million, five hundred forty-nine thousand, eight hundred eighty-eight".
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