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4590664 = 2313371193
BaseRepresentation
bin10001100000110001001000
322122020012121
4101200301020
52133400124
6242221024
754006601
oct21406110
98566177
104590664
112656041
121654774
13c49690
14876da8
1560a2e4
hex460c48

4590664 has 32 divisors (see below), whose sum is σ = 9528120. Its totient is φ = 2059776.

The previous prime is 4590661. The next prime is 4590667. The reversal of 4590664 is 4660954.

4590664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4590661) and next prime (4590667).

It can be written as a sum of positive squares in 4 ways, for example, as 4040100 + 550564 = 2010^2 + 742^2 .

It is a Smith number, since the sum of its digits (34) 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 (4590661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3252 + ... + 4444.

Almost surely, 24590664 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 4590664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764060).

4590664 is an abundant number, since it is smaller than the sum of its proper divisors (4937456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4590664 is a wasteful number, since it uses less digits than its factorization.

4590664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 4590664 is about 2142.5834872882. The cubic root of 4590664 is about 166.1977611138.

It can be divided in two parts, 45 and 90664, that added together give a palindrome (90709).

The spelling of 4590664 in words is "four million, five hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1193 1924 2386 3848 4772 9544 15509 31018 44141 62036 88282 124072 176564 353128 573833 1147666 2295332 4590664