Search a number
-
+
404145045 = 345997889
BaseRepresentation
bin11000000101101…
…100001110010101
31001011110200210000
4120011230032111
51311430120140
6104034121513
713005114303
oct3005541625
91034420700
10404145045
11198147177
12b3420299
13659631a5
143b963273
1525731a30
hex1816c395

404145045 has 20 divisors (see below), whose sum is σ = 724468140. Its totient is φ = 215543808.

The previous prime is 404145037. The next prime is 404145061. The reversal of 404145045 is 540541404.

It can be written as a sum of positive squares in 2 ways, for example, as 64738116 + 339406929 = 8046^2 + 18423^2 .

It is not a de Polignac number, because 404145045 - 23 = 404145037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 498540 + ... + 499349.

It is an arithmetic number, because the mean of its divisors is an integer number (36223407).

Almost surely, 2404145045 is an apocalyptic number.

404145045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404145045 is a deficient number, since it is larger than the sum of its proper divisors (320323095).

404145045 is an equidigital number, since it uses as much as digits as its factorization.

404145045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997906 (or 997897 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 404145045 is about 20103.3590476816. The cubic root of 404145045 is about 739.3426381589.

Adding to 404145045 its reverse (540541404), we get a palindrome (944686449).

The spelling of 404145045 in words is "four hundred four million, one hundred forty-five thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 997889 2993667 4989445 8981001 14968335 26943003 44905005 80829009 134715015 404145045