Search a number
-
+
5108544 = 263272181
BaseRepresentation
bin10011011111001101000000
3100121112121100
4103133031000
52301433134
6301254400
761264500
oct23371500
910545540
105108544
11297a141
121864400
13109b30c
1496da00
156ad999
hex4df340

5108544 has 126 divisors (see below), whose sum is σ = 17127474. Its totient is φ = 1451520.

The previous prime is 5108539. The next prime is 5108557. The reversal of 5108544 is 4458015.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 2286144 = 1680^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 28134 + ... + 28314.

Almost surely, 25108544 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 5108544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563737).

5108544 is an abundant number, since it is smaller than the sum of its proper divisors (12018930).

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

5108544 is a wasteful number, since it uses less digits than its factorization.

5108544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5108544 is about 2260.2088399084. The cubic root of 5108544 is about 172.2261312714.

The spelling of 5108544 in words is "five million, one hundred eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 181 192 196 224 252 288 294 336 362 392 441 448 504 543 576 588 672 724 784 882 1008 1086 1176 1267 1344 1448 1568 1629 1764 2016 2172 2352 2534 2896 3136 3258 3528 3801 4032 4344 4704 5068 5792 6516 7056 7602 8688 8869 9408 10136 11403 11584 13032 14112 15204 17376 17738 20272 22806 26064 26607 28224 30408 34752 35476 40544 45612 52128 53214 60816 70952 79821 81088 91224 104256 106428 121632 141904 159642 182448 212856 243264 283808 319284 364896 425712 567616 638568 729792 851424 1277136 1702848 2554272 5108544