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5358528 = 26337443
BaseRepresentation
bin10100011100001111000000
3101002020112000
4110130033000
52332433103
6310504000
763355350
oct24341700
911066460
105358528
11302aa3a
121965000
131158036
149d6b60
1570caa3
hex51c3c0

5358528 has 112 divisors (see below), whose sum is σ = 18044160. Its totient is φ = 1527552.

The previous prime is 5358523. The next prime is 5358539. The reversal of 5358528 is 8258535.

5358528 is a `hidden beast` number, since 53 + 585 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5358492 and 5358501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5358523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11875 + ... + 12317.

Almost surely, 25358528 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 5358528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022080).

5358528 is an abundant number, since it is smaller than the sum of its proper divisors (12685632).

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

5358528 is a wasteful number, since it uses less digits than its factorization.

5358528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 5358528 is about 2314.8494551482. The cubic root of 5358528 is about 174.9907804667.

It can be divided in two parts, 5358 and 528, that added together give a triangular number (5886 = T108).

The spelling of 5358528 in words is "five million, three hundred fifty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 443 448 504 576 672 756 864 886 1008 1329 1344 1512 1728 1772 2016 2658 3024 3101 3544 3987 4032 5316 6048 6202 7088 7974 9303 10632 11961 12096 12404 14176 15948 18606 21264 23922 24808 27909 28352 31896 37212 42528 47844 49616 55818 63792 74424 83727 85056 95688 99232 111636 127584 148848 167454 191376 198464 223272 255168 297696 334908 382752 446544 595392 669816 765504 893088 1339632 1786176 2679264 5358528