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5633424 = 2432192971
BaseRepresentation
bin10101011111010110010000
3101121012121100
4111133112100
52420232144
6320424400
765611656
oct25372620
911535540
105633424
1131a8525
121a78100
1312231b4
14a68dd6
15764269
hex55f590

5633424 has 120 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 1693440.

The previous prime is 5633417. The next prime is 5633437. The reversal of 5633424 is 4243365.

5633424 is a `hidden beast` number, since 5 + 633 + 4 + 24 = 666.

5633424 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79309 + ... + 79379.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

Almost surely, 25633424 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 5633424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

5633424 is an abundant number, since it is smaller than the sum of its proper divisors (11776176).

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

5633424 is a wasteful number, since it uses less digits than its factorization.

5633424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 5633424 is about 2373.4835158475. The cubic root of 5633424 is about 177.9334009992.

Adding to 5633424 its reverse (4243365), we get a palindrome (9876789).

The spelling of 5633424 in words is "five million, six hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 71 72 76 87 114 116 142 144 152 171 174 213 228 232 261 284 304 342 348 426 456 464 522 551 568 639 684 696 852 912 1044 1102 1136 1278 1349 1368 1392 1653 1704 2059 2088 2204 2556 2698 2736 3306 3408 4047 4118 4176 4408 4959 5112 5396 6177 6612 8094 8236 8816 9918 10224 10792 12141 12354 13224 16188 16472 18531 19836 21584 24282 24708 26448 32376 32944 37062 39121 39672 48564 49416 64752 74124 78242 79344 97128 98832 117363 148248 156484 194256 234726 296496 312968 352089 469452 625936 704178 938904 1408356 1877808 2816712 5633424