Base | Representation |
---|---|
bin | 1000111001101… |
… | …01101001000000 |
3 | 12012111120002000 |
4 | 10130311221000 |
5 | 123103343413 |
6 | 11224224000 |
7 | 1564446510 |
oct | 434655100 |
9 | 165446060 |
10 | 74668608 |
11 | 3916a6a3 |
12 | 2100b000 |
13 | 12614811 |
14 | 9cb9840 |
15 | 684e073 |
hex | 4735a40 |
74668608 has 112 divisors (see below), whose sum is σ = 250911360. Its totient is φ = 21330432.
The previous prime is 74668589. The next prime is 74668609. The reversal of 74668608 is 80686647.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (112).
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 not an unprimeable number, because it can be changed into a prime (74668609) 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, 9010 + ... + 15182.
It is an arithmetic number, because the mean of its divisors is an integer number (2240280).
Almost surely, 274668608 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 74668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125455680).
74668608 is an abundant number, since it is smaller than the sum of its proper divisors (176242752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74668608 is a wasteful number, since it uses less digits than its factorization.
74668608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6201 (or 6185 counting only the distinct ones).
The product of its (nonzero) digits is 387072, while the sum is 45.
The square root of 74668608 is about 8641.0999299858. The cubic root of 74668608 is about 421.0942892643.
The spelling of 74668608 in words is "seventy-four million, six hundred sixty-eight thousand, six hundred eight".
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