Search a number
-
+
5004205 = 517113521
BaseRepresentation
bin10011000101101110101101
3100102020110221
4103011232231
52240113310
6255131341
760351343
oct23055655
910366427
105004205
112908808
121813b51
13106298b
14943993
1568cada
hex4c5bad

5004205 has 16 divisors (see below), whose sum is σ = 6426864. Its totient is φ = 3727360.

The previous prime is 5004193. The next prime is 5004217. The reversal of 5004205 is 5024005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5004193) and next prime (5004217).

It can be written as a sum of positive squares in 8 ways, for example, as 619369 + 4384836 = 787^2 + 2094^2 .

It is not a de Polignac number, because 5004205 - 211 = 5002157 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 9345 + ... + 9865.

It is an arithmetic number, because the mean of its divisors is an integer number (401679).

Almost surely, 25004205 is an apocalyptic number.

It is an amenable number.

5004205 is a deficient number, since it is larger than the sum of its proper divisors (1422659).

5004205 is a wasteful number, since it uses less digits than its factorization.

5004205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 5004205 is about 2237.0080464764. The cubic root of 5004205 is about 171.0455175615.

Subtracting from 5004205 its product of nonzero digits (200), we obtain a palindrome (5004005).

It can be divided in two parts, 500 and 4205, that multiplied together give a square (2102500 = 14502).

The spelling of 5004205 in words is "five million, four thousand, two hundred five".

Divisors: 1 5 17 85 113 521 565 1921 2605 8857 9605 44285 58873 294365 1000841 5004205