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5133184 = 27717337
BaseRepresentation
bin10011100101001110000000
3100122210101221
4103211032000
52303230214
6302004424
761426360
oct23451600
910583357
105133184
112996701
121876714
1310a95b4
149789a0
156b5e24
hex4e5380

5133184 has 64 divisors (see below), whose sum is σ = 12411360. Its totient is φ = 2064384.

The previous prime is 5133179. The next prime is 5133187. The reversal of 5133184 is 4813315.

5133184 = T77 + T78 + ... + T314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×51331844 (a number of 28 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15064 + ... + 15400.

Almost surely, 25133184 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 5133184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205680).

5133184 is an abundant number, since it is smaller than the sum of its proper divisors (7278176).

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

5133184 is a wasteful number, since it uses less digits than its factorization.

5133184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 5133184 is about 2265.6531067222. The cubic root of 5133184 is about 172.5025862526.

Adding to 5133184 its reverse (4813315), we get a palindrome (9946499).

It can be divided in two parts, 51331 and 84, that added together give a palindrome (51415).

The spelling of 5133184 in words is "five million, one hundred thirty-three thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 337 448 476 544 674 896 952 1088 1348 1904 2176 2359 2696 3808 4718 5392 5729 7616 9436 10784 11458 15232 18872 21568 22916 37744 40103 43136 45832 75488 80206 91664 150976 160412 183328 301952 320824 366656 641648 733312 1283296 2566592 5133184