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5616384 = 28371103
BaseRepresentation
bin10101011011001100000000
3101120100020020
4111123030000
52414211014
6320213440
765511204
oct25331400
911510206
105616384
113196744
121a6a280
131218507
14a62b04
1575e1a9
hex55b300

5616384 has 72 divisors (see below), whose sum is σ = 15305472. Its totient is φ = 1827840.

The previous prime is 5616383. The next prime is 5616389. The reversal of 5616384 is 4836165.

It is a super-3 number, since 3×56163843 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5616383) 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, 54477 + ... + 54579.

It is an arithmetic number, because the mean of its divisors is an integer number (212576).

Almost surely, 25616384 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 5616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652736).

5616384 is an abundant number, since it is smaller than the sum of its proper divisors (9689088).

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

5616384 is a wasteful number, since it uses less digits than its factorization.

5616384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 5616384 is about 2369.8911367403. The cubic root of 5616384 is about 177.7538152888.

The spelling of 5616384 in words is "five million, six hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 103 128 142 192 206 213 256 284 309 384 412 426 568 618 768 824 852 1136 1236 1648 1704 2272 2472 3296 3408 4544 4944 6592 6816 7313 9088 9888 13184 13632 14626 18176 19776 21939 26368 27264 29252 39552 43878 54528 58504 79104 87756 117008 175512 234016 351024 468032 702048 936064 1404096 1872128 2808192 5616384