Base | Representation |
---|---|
bin | 1111110100110… |
… | …1010000011000 |
3 | 11121220021202100 |
4 | 3331031100120 |
5 | 113443023403 |
6 | 10330403400 |
7 | 1434123105 |
oct | 375152030 |
9 | 147807670 |
10 | 66376728 |
11 | 34516900 |
12 | 1a290560 |
13 | 109a0592 |
14 | 8b5baac |
15 | 5c622a3 |
hex | 3f4d418 |
66376728 has 144 divisors (see below), whose sum is σ = 208517400. Its totient is φ = 19008000.
The previous prime is 66376727. The next prime is 66376741. The reversal of 66376728 is 82767366.
66376728 is a `hidden beast` number, since 6 + 637 + 6 + 7 + 2 + 8 = 666.
66376728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (66376727) 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 35 ways as a sum of consecutive naturals, for example, 165328 + ... + 165728.
Almost surely, 266376728 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 66376728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104258700).
66376728 is an abundant number, since it is smaller than the sum of its proper divisors (142140672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66376728 is a wasteful number, since it uses less digits than its factorization.
66376728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 454 (or 436 counting only the distinct ones).
The product of its digits is 508032, while the sum is 45.
The square root of 66376728 is about 8147.1914179059. The cubic root of 66376728 is about 404.8914569662.
The spelling of 66376728 in words is "sixty-six million, three hundred seventy-six thousand, seven hundred twenty-eight".
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