Base | Representation |
---|---|
bin | 1000000100111… |
… | …11110100100000 |
3 | 11201111202000211 |
4 | 10002133310200 |
5 | 114321412423 |
6 | 10420223504 |
7 | 1451660122 |
oct | 402376440 |
9 | 151452024 |
10 | 67763488 |
11 | 35283791 |
12 | 1a83ab94 |
13 | 11067850 |
14 | 8ddd212 |
15 | 5e3810d |
hex | 409fd20 |
67763488 has 96 divisors (see below), whose sum is σ = 153362160. Its totient is φ = 29245440.
The previous prime is 67763483. The next prime is 67763569. The reversal of 67763488 is 88436776.
It can be written as a sum of positive squares in 8 ways, for example, as 8596624 + 59166864 = 2932^2 + 7692^2 .
It is a super-2 number, since 2×677634882 = 9183780611852288, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (67763483) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494556 + ... + 494692.
Almost surely, 267763488 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 67763488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76681080).
67763488 is an abundant number, since it is smaller than the sum of its proper divisors (85598672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67763488 is a wasteful number, since it uses less digits than its factorization.
67763488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 230 (or 222 counting only the distinct ones).
The product of its digits is 1354752, while the sum is 49.
The square root of 67763488 is about 8231.8581134517. The cubic root of 67763488 is about 407.6917446077.
The spelling of 67763488 in words is "sixty-seven million, seven hundred sixty-three thousand, four hundred eighty-eight".
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