Search a number
-
+
4393116 = 2234713149
BaseRepresentation
bin10000110000100010011100
322021012020000
4100300202130
52111034431
6234054300
752224630
oct20604234
98235200
104393116
112530682
12157a390
13baa7a0
14824dc0
155bb9e6
hex43089c

4393116 has 120 divisors (see below), whose sum is σ = 14229600. Its totient is φ = 1150848.

The previous prime is 4393097. The next prime is 4393127. The reversal of 4393116 is 6113934.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4393116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29410 + ... + 29558.

It is an arithmetic number, because the mean of its divisors is an integer number (118580).

Almost surely, 24393116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4393116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114800).

4393116 is an abundant number, since it is smaller than the sum of its proper divisors (9836484).

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

4393116 is a wasteful number, since it uses less digits than its factorization.

4393116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 4393116 is about 2095.9761449024. The cubic root of 4393116 is about 163.7787518226.

The spelling of 4393116 in words is "four million, three hundred ninety-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 149 156 162 182 189 234 252 273 298 324 351 364 378 447 468 546 567 596 702 756 819 894 1043 1053 1092 1134 1341 1404 1638 1788 1937 2086 2106 2268 2457 2682 3129 3276 3874 4023 4172 4212 4914 5364 5811 6258 7371 7748 8046 9387 9828 11622 12069 12516 13559 14742 16092 17433 18774 23244 24138 27118 28161 29484 34866 37548 40677 48276 52299 54236 56322 69732 81354 84483 104598 112644 122031 156897 162708 168966 209196 244062 313794 337932 366093 488124 627588 732186 1098279 1464372 2196558 4393116