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5636384 = 251317797
BaseRepresentation
bin10101100000000100100000
3101121100122222
4111200010200
52420331014
6320450212
765623415
oct25400440
911540588
105636384
1131aa776
121a79968
131224650
14a6a10c
1576508e
hex560120

5636384 has 48 divisors (see below), whose sum is σ = 12669048. Its totient is φ = 2445312.

The previous prime is 5636383. The next prime is 5636399. The reversal of 5636384 is 4836365.

5636384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4579600 + 1056784 = 2140^2 + 1028^2 .

It is not an unprimeable number, because it can be changed into a prime (5636383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6674 + ... + 7470.

Almost surely, 25636384 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 5636384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334524).

5636384 is an abundant number, since it is smaller than the sum of its proper divisors (7032664).

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

5636384 is a wasteful number, since it uses less digits than its factorization.

5636384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 5636384 is about 2374.1069900070. The cubic root of 5636384 is about 177.9645597077.

The spelling of 5636384 in words is "five million, six hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 797 884 1594 1768 3188 3536 6376 7072 10361 12752 13549 20722 25504 27098 41444 54196 82888 108392 165776 176137 216784 331552 352274 433568 704548 1409096 2818192 5636384