Search a number
-
+
4540224 = 2631317107
BaseRepresentation
bin10001010100011101000000
322112200000110
4101110131000
52130241344
6241151320
753406543
oct21243500
98480013
104540224
112621157
12162b540
13c2c730
1486285a
155ea3b9
hex454740

4540224 has 112 divisors (see below), whose sum is σ = 13825728. Its totient is φ = 1302528.

The previous prime is 4540219. The next prime is 4540231. The reversal of 4540224 is 4220454.

It is a super-2 number, since 2×45402242 = 41227267940352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4540224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42379 + ... + 42485.

It is an arithmetic number, because the mean of its divisors is an integer number (123444).

Almost surely, 24540224 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 4540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912864).

4540224 is an abundant number, since it is smaller than the sum of its proper divisors (9285504).

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

4540224 is a wasteful number, since it uses less digits than its factorization.

4540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 4540224 is about 2130.7801388224. The cubic root of 4540224 is about 165.5868177796.

Adding to 4540224 its reverse (4220454), we get a palindrome (8760678).

The spelling of 4540224 in words is "four million, five hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 107 136 156 192 204 208 214 221 272 312 321 408 416 428 442 544 624 642 663 816 832 856 884 1088 1248 1284 1326 1391 1632 1712 1768 1819 2496 2568 2652 2782 3264 3424 3536 3638 4173 5136 5304 5457 5564 6848 7072 7276 8346 10272 10608 10914 11128 14144 14552 16692 20544 21216 21828 22256 23647 29104 33384 42432 43656 44512 47294 58208 66768 70941 87312 89024 94588 116416 133536 141882 174624 189176 267072 283764 349248 378352 567528 756704 1135056 1513408 2270112 4540224