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6404801 = 131773397
BaseRepresentation
bin11000011011101011000001
3110001101201212
4120123223001
53114423201
6345135505
7105303614
oct30335301
913041655
106404801
113685027
12218a595
131433330
14bca17b
15867abb
hex61bac1

6404801 has 16 divisors (see below), whose sum is σ = 7421904. Its totient is φ = 5474304.

The previous prime is 6404791. The next prime is 6404809. The reversal of 6404801 is 1084046.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34225 + 6370576 = 185^2 + 2524^2 .

It is a cyclic number.

It is not a de Polignac number, because 6404801 - 222 = 2210497 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404809) 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, 15935 + ... + 16331.

It is an arithmetic number, because the mean of its divisors is an integer number (463869).

Almost surely, 26404801 is an apocalyptic number.

It is an amenable number.

6404801 is a deficient number, since it is larger than the sum of its proper divisors (1017103).

6404801 is a wasteful number, since it uses less digits than its factorization.

6404801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 6404801 is about 2530.7708311896. The cubic root of 6404801 is about 185.7099672989.

Adding to 6404801 its reverse (1084046), we get a palindrome (7488847).

The spelling of 6404801 in words is "six million, four hundred four thousand, eight hundred one".

Divisors: 1 13 17 73 221 397 949 1241 5161 6749 16133 28981 87737 376753 492677 6404801