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5117364 = 223372967
BaseRepresentation
bin10011100001010110110100
3100121222201000
4103201112310
52302223424
6301403300
761332300
oct23412664
910558630
105117364
11298582a
121869530
1310a2335
14972d00
156b13c9
hex4e15b4

5117364 has 72 divisors (see below), whose sum is σ = 15449280. Its totient is φ = 1460592.

The previous prime is 5117363. The next prime is 5117377. The reversal of 5117364 is 4637115.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4809 + ... + 5775.

Almost surely, 25117364 is an apocalyptic number.

5117364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5117364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724640).

5117364 is an abundant number, since it is smaller than the sum of its proper divisors (10331916).

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

5117364 is a wasteful number, since it uses less digits than its factorization.

5117364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 979 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 5117364 is about 2262.1591455952. The cubic root of 5117364 is about 172.3251915320.

Subtracting from 5117364 its reverse (4637115), we obtain a square (480249 = 6932).

It can be divided in two parts, 511 and 7364, that added together give a triangular number (7875 = T125).

The spelling of 5117364 in words is "five million, one hundred seventeen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 967 1323 1764 1934 2646 2901 3868 5292 5802 6769 8703 11604 13538 17406 20307 26109 27076 34812 40614 47383 52218 60921 81228 94766 104436 121842 142149 182763 189532 243684 284298 365526 426447 568596 731052 852894 1279341 1705788 2558682 5117364