Search a number
-
+
438213438 = 2321316311489
BaseRepresentation
bin11010000111101…
…001101100111110
31010112120112211100
4122013221230332
51344140312223
6111252233530
713600516125
oct3207515476
91115515740
10438213438
112053a6273
1210290b8a6
136ca30bc0
14422b0abc
1528711043
hex1a1e9b3e

438213438 has 48 divisors (see below), whose sum is σ = 1028860560. Its totient is φ = 133996032.

The previous prime is 438213409. The next prime is 438213439. The reversal of 438213438 is 834312834.

It is a happy number.

438213438 is a `hidden beast` number, since 4 + 3 + 8 + 213 + 438 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438213439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32398 + ... + 43886.

It is an arithmetic number, because the mean of its divisors is an integer number (21434595).

Almost surely, 2438213438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438213438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514430280).

438213438 is an abundant number, since it is smaller than the sum of its proper divisors (590647122).

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

438213438 is a wasteful number, since it uses less digits than its factorization.

438213438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11673 (or 11670 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 438213438 is about 20933.5481464562. The cubic root of 438213438 is about 759.5596699070.

The spelling of 438213438 in words is "four hundred thirty-eight million, two hundred thirteen thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 234 326 489 978 1467 2119 2934 4238 6357 11489 12714 19071 22978 34467 38142 68934 103401 149357 206802 298714 448071 896142 1344213 1872707 2688426 3745414 5618121 11236242 16854363 24345191 33708726 48690382 73035573 146071146 219106719 438213438