Base | Representation |
---|---|
bin | 10101111111011000000000 |
3 | 101211212120000 |
4 | 111333120000 |
5 | 2433431413 |
6 | 323320000 |
7 | 66666303 |
oct | 25773000 |
9 | 11755500 |
10 | 5764608 |
11 | 3288043 |
12 | 1b20000 |
13 | 126ab15 |
14 | aa0b3a |
15 | 78d073 |
hex | 57f600 |
5764608 has 100 divisors (see below), whose sum is σ = 17329620. Its totient is φ = 1907712.
The previous prime is 5764607. The next prime is 5764609. The reversal of 5764608 is 8064675.
It is a happy number.
5764608 is a `hidden beast` number, since 5 + 7 + 646 + 0 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (5764607) and next prime (5764609).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5764607) 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 9 ways as a sum of consecutive naturals, for example, 41403 + ... + 41541.
Almost surely, 25764608 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 5764608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664810).
5764608 is an abundant number, since it is smaller than the sum of its proper divisors (11565012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5764608 is an equidigital number, since it uses as much as digits as its factorization.
5764608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 169 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 5764608 is about 2400.9598080768. The cubic root of 5764608 is about 179.3039787715.
It can be divided in two parts, 576 and 4608, that added together give a square (5184 = 722).
The spelling of 5764608 in words is "five million, seven hundred sixty-four thousand, six hundred eight".
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