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556204896 = 253213532803
BaseRepresentation
bin100001001001110…
…000001101100000
31102202121010200100
4201021300031200
52114342024041
6131105222400
716532443422
oct4111601540
91382533610
10556204896
11265a65a75
12136331a00
138b303830
1453c26812
1533c6b6b6
hex21270360

556204896 has 144 divisors (see below), whose sum is σ = 1736135856. Its totient is φ = 167851008.

The previous prime is 556204889. The next prime is 556204907. The reversal of 556204896 is 698402655.

556204896 is a `hidden beast` number, since 5 + 562 + 0 + 4 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 197031 + ... + 199833.

It is an arithmetic number, because the mean of its divisors is an integer number (12056499).

Almost surely, 2556204896 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 556204896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868067928).

556204896 is an abundant number, since it is smaller than the sum of its proper divisors (1179930960).

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

556204896 is a wasteful number, since it uses less digits than its factorization.

556204896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 556204896 is about 23583.9966078695. The cubic root of 556204896 is about 822.3908489900.

It can be divided in two parts, 55620 and 4896, that added together give a square (60516 = 2462).

The spelling of 556204896 in words is "five hundred fifty-six million, two hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 72 78 96 104 106 117 144 156 159 208 212 234 288 312 318 416 424 468 477 624 636 689 848 936 954 1248 1272 1378 1696 1872 1908 2067 2544 2756 2803 3744 3816 4134 5088 5512 5606 6201 7632 8268 8409 11024 11212 12402 15264 16536 16818 22048 22424 24804 25227 33072 33636 36439 44848 49608 50454 66144 67272 72878 89696 99216 100908 109317 134544 145756 148559 198432 201816 218634 269088 291512 297118 327951 403632 437268 445677 583024 594236 655902 807264 874536 891354 1166048 1188472 1311804 1337031 1749072 1782708 1931267 2376944 2623608 2674062 3498144 3565416 3862534 4753888 5247216 5348124 5793801 7130832 7725068 10494432 10696248 11587602 14261664 15450136 17381403 21392496 23175204 30900272 34762806 42784992 46350408 61800544 69525612 92700816 139051224 185401632 278102448 556204896