Base | Representation |
---|---|
bin | 100110010010000… |
… | …001111100000000 |
3 | 1122202112020002200 |
4 | 212102001330000 |
5 | 2303404320421 |
6 | 143421513200 |
7 | 21626061165 |
oct | 4622017400 |
9 | 1582466080 |
10 | 642260736 |
11 | 2aa5a2aa7 |
12 | 15b112800 |
13 | a30a4450 |
14 | 6142806c |
15 | 3b5b9726 |
hex | 26481f00 |
642260736 has 216 divisors, whose sum is σ = 2046788016. Its totient is φ = 192430080.
The previous prime is 642260719. The next prime is 642260737. The reversal of 642260736 is 637062246.
It is a happy number.
642260736 is a `hidden beast` number, since 6 + 42 + 2 + 607 + 3 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 642260736.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (642260737) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227771 + ... + 1228293.
Almost surely, 2642260736 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 642260736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023394008).
642260736 is an abundant number, since it is smaller than the sum of its proper divisors (1404527280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
642260736 is a wasteful number, since it uses less digits than its factorization.
642260736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 599 (or 582 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
The square root of 642260736 is about 25342.8636108866. The cubic root of 642260736 is about 862.7873935779.
The spelling of 642260736 in words is "six hundred forty-two million, two hundred sixty thousand, seven hundred thirty-six".
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