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5536224 = 253247409
BaseRepresentation
bin10101000111100111100000
3101102021021100
4111013213200
52404124344
6314354400
765025411
oct25074740
911367240
105536224
1131414a1
121a2ba00
1311bab95
14a41808
15745569
hex5479e0

5536224 has 72 divisors (see below), whose sum is σ = 16117920. Its totient is φ = 1801728.

The previous prime is 5536213. The next prime is 5536249. The reversal of 5536224 is 4226355.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13332 + ... + 13740.

It is an arithmetic number, because the mean of its divisors is an integer number (223860).

Almost surely, 25536224 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 5536224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058960).

5536224 is an abundant number, since it is smaller than the sum of its proper divisors (10581696).

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

5536224 is a wasteful number, since it uses less digits than its factorization.

5536224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 5536224 is about 2352.9181881230. The cubic root of 5536224 is about 176.9040943620.

The spelling of 5536224 in words is "five million, five hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 409 423 564 752 818 846 1128 1227 1504 1636 1692 2256 2454 3272 3384 3681 4512 4908 6544 6768 7362 9816 13088 13536 14724 19223 19632 29448 38446 39264 57669 58896 76892 115338 117792 153784 173007 230676 307568 346014 461352 615136 692028 922704 1384056 1845408 2768112 5536224