Search a number
-
+
4198437 = 32613761
BaseRepresentation
bin10000000001000000100101
321220022011200
4100001000211
52033322222
6225553113
750454225
oct20010045
97808150
104198437
112408391
1214a5799
13b3cca9
147b4085
1557deac
hex401025

4198437 has 12 divisors (see below), whose sum is σ = 6082284. Its totient is φ = 2790720.

The previous prime is 4198433. The next prime is 4198457. The reversal of 4198437 is 7348914.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 4186116 = 111^2 + 2046^2 .

It is not a de Polignac number, because 4198437 - 22 = 4198433 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5137 + ... + 5897.

It is an arithmetic number, because the mean of its divisors is an integer number (506857).

Almost surely, 24198437 is an apocalyptic number.

It is an amenable number.

4198437 is a deficient number, since it is larger than the sum of its proper divisors (1883847).

4198437 is a wasteful number, since it uses less digits than its factorization.

4198437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1377 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 4198437 is about 2049.0087847542. The cubic root of 4198437 is about 161.3228479210.

Subtracting from 4198437 its sum of digits (36), we obtain a square (4198401 = 20492).

The spelling of 4198437 in words is "four million, one hundred ninety-eight thousand, four hundred thirty-seven".

Divisors: 1 3 9 613 761 1839 2283 5517 6849 466493 1399479 4198437