Search a number
-
+
6849414 = 2331113887
BaseRepresentation
bin11010001000001110000110
3110212222122000
4122020032012
53223140124
6402450130
7112135065
oct32101606
913788560
106849414
113959080
122363946
13155a810
14ca41dc
159046c9
hex688386

6849414 has 64 divisors (see below), whose sum is σ = 17902080. Its totient is φ = 1913760.

The previous prime is 6849413. The next prime is 6849421. The reversal of 6849414 is 4149486.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6849413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7279 + ... + 8165.

It is an arithmetic number, because the mean of its divisors is an integer number (279720).

Almost surely, 26849414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6849414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951040).

6849414 is an abundant number, since it is smaller than the sum of its proper divisors (11052666).

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

6849414 is a wasteful number, since it uses less digits than its factorization.

6849414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6849414 is about 2617.1385137207. The cubic root of 6849414 is about 189.9114453444.

The spelling of 6849414 in words is "six million, eight hundred forty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 887 1287 1774 2574 2661 3861 5322 7722 7983 9757 11531 15966 19514 23062 23949 29271 34593 47898 58542 69186 87813 103779 126841 175626 207558 253682 263439 311337 380523 526878 622674 761046 1141569 2283138 3424707 6849414