Search a number
-
+
558228528 = 2432111327109
BaseRepresentation
bin100001010001011…
…110010000110000
31102220101221120200
4201101132100300
52120401303103
6131220435200
716555602264
oct4121362060
91386357520
10558228528
112671183a0
12136b48b00
138b861950
14541d20a4
153401b0a3
hex2145e430

558228528 has 120 divisors (see below), whose sum is σ = 1835455440. Its totient is φ = 156142080.

The previous prime is 558228527. The next prime is 558228551. The reversal of 558228528 is 825822855.

It is not an unprimeable number, because it can be changed into a prime (558228527) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7038 + ... + 34146.

It is an arithmetic number, because the mean of its divisors is an integer number (15295462).

Almost surely, 2558228528 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 558228528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917727720).

558228528 is an abundant number, since it is smaller than the sum of its proper divisors (1277226912).

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

558228528 is a wasteful number, since it uses less digits than its factorization.

558228528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27147 (or 27138 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The square root of 558228528 is about 23626.8603077091. The cubic root of 558228528 is about 823.3870059951.

The spelling of 558228528 in words is "five hundred fifty-eight million, two hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 27109 54218 81327 108436 162654 216872 243981 298199 325308 352417 433744 487962 596398 650616 704834 894597 975924 1057251 1192796 1301232 1409668 1789194 1951848 2114502 2385592 2683791 2819336 3171753 3578388 3876587 3903696 4229004 4771184 5367582 5638672 6343506 7156776 7753174 8458008 10735164 11629761 12687012 14313552 15506348 16916016 21470328 23259522 25374024 31012696 34889283 42940656 46519044 50748048 62025392 69778566 93038088 139557132 186076176 279114264 558228528