Search a number
-
+
6294288 = 24371113131
BaseRepresentation
bin11000000000101100010000
3102211210010210
4120000230100
53102404123
6342524120
7104333460
oct30005420
912753123
106294288
113609aa0
122136640
1313c4c40
14b9bba0
15844e93
hex600b10

6294288 has 160 divisors (see below), whose sum is σ = 21998592. Its totient is φ = 1497600.

The previous prime is 6294283. The next prime is 6294289. The reversal of 6294288 is 8824926.

6294288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×62942882 = 79236122853888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6294283) 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, 47983 + ... + 48113.

Almost surely, 26294288 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 6294288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999296).

6294288 is an abundant number, since it is smaller than the sum of its proper divisors (15704304).

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

6294288 is a wasteful number, since it uses less digits than its factorization.

6294288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 6294288 is about 2508.8419639348. The cubic root of 6294288 is about 184.6356402989.

The spelling of 6294288 in words is "six million, two hundred ninety-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 131 132 143 154 156 168 176 182 208 231 262 264 273 286 308 312 336 364 393 429 462 524 528 546 572 616 624 728 786 858 917 924 1001 1048 1092 1144 1232 1441 1456 1572 1703 1716 1834 1848 2002 2096 2184 2288 2751 2882 3003 3144 3406 3432 3668 3696 4004 4323 4368 5109 5502 5764 6006 6288 6812 6864 7336 8008 8646 10087 10218 11004 11528 11921 12012 13624 14672 16016 17292 18733 20174 20436 22008 23056 23842 24024 27248 30261 34584 35763 37466 40348 40872 44016 47684 48048 56199 60522 69168 71526 74932 80696 81744 95368 112398 121044 131131 143052 149864 161392 190736 224796 242088 262262 286104 299728 393393 449592 484176 524524 572208 786786 899184 1049048 1573572 2098096 3147144 6294288