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5323584 = 263717233
BaseRepresentation
bin10100010011101101000000
3101000110120210
4110103231000
52330323314
6310034120
763151440
oct24235500
911013523
105323584
113006762
121948940
131145166
149c8120
15702559
hex513b40

5323584 has 112 divisors (see below), whose sum is σ = 17117568. Its totient is φ = 1425408.

The previous prime is 5323583. The next prime is 5323613. The reversal of 5323584 is 4853235.

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

It is a d-powerful number, because it can be written as 54 + 32 + 219 + 314 + 56 + 82 + 4 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5323583) 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, 22732 + ... + 22964.

Almost surely, 25323584 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 5323584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558784).

5323584 is an abundant number, since it is smaller than the sum of its proper divisors (11793984).

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

5323584 is a wasteful number, since it uses less digits than its factorization.

5323584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 5323584 is about 2307.2893186595. The cubic root of 5323584 is about 174.6095676722.

The spelling of 5323584 in words is "five million, three hundred twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 233 238 272 336 357 408 448 466 476 544 672 699 714 816 932 952 1088 1344 1398 1428 1631 1632 1864 1904 2796 2856 3262 3264 3728 3808 3961 4893 5592 5712 6524 7456 7616 7922 9786 11184 11424 11883 13048 14912 15844 19572 22368 22848 23766 26096 27727 31688 39144 44736 47532 52192 55454 63376 78288 83181 95064 104384 110908 126752 156576 166362 190128 221816 253504 313152 332724 380256 443632 665448 760512 887264 1330896 1774528 2661792 5323584