Search a number
-
+
556801168 = 247113161239
BaseRepresentation
bin100001001100000…
…001110010010000
31102210201102121111
4201030001302100
52120020114133
6131130103104
716540506010
oct4114016220
91383642544
10556801168
11266332a60
1213657aa94
138b482061
1453d3dc40
1533d381cd
hex21301c90

556801168 has 160 divisors (see below), whose sum is σ = 1417052160. Its totient is φ = 205632000.

The previous prime is 556801121. The next prime is 556801169. The reversal of 556801168 is 861108655.

It is a self number, because there is not a number n which added to its sum of digits gives 556801168.

It is not an unprimeable number, because it can be changed into a prime (556801169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2329593 + ... + 2329831.

It is an arithmetic number, because the mean of its divisors is an integer number (8856576).

Almost surely, 2556801168 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 556801168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708526080).

556801168 is an abundant number, since it is smaller than the sum of its proper divisors (860250992).

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

556801168 is a wasteful number, since it uses less digits than its factorization.

556801168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 556801168 is about 23596.6346753091. The cubic root of 556801168 is about 822.6846217304.

The spelling of 556801168 in words is "five hundred fifty-six million, eight hundred one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 61 62 77 88 112 122 124 154 176 217 239 244 248 308 341 427 434 478 488 496 616 671 682 854 868 956 976 1232 1342 1364 1673 1708 1736 1891 1912 2387 2629 2684 2728 3346 3416 3472 3782 3824 4697 4774 5258 5368 5456 6692 6832 7409 7564 9394 9548 10516 10736 13237 13384 14579 14818 15128 18403 18788 19096 20801 21032 26474 26768 29158 29636 30256 36806 37576 38192 41602 42064 51863 52948 58316 59272 73612 75152 81499 83204 102053 103726 105896 116632 118544 145607 147224 160369 162998 166408 204106 207452 211792 233264 291214 294448 320738 325996 332816 408212 414904 451949 570493 582428 641476 651992 816424 829808 903898 1122583 1140986 1164856 1282952 1303984 1632848 1807796 2245166 2281972 2329712 2565904 3163643 3615592 4490332 4563944 4971439 6327286 7231184 8980664 9127888 9942878 12654572 17961328 19885756 25309144 34800073 39771512 50618288 69600146 79543024 139200292 278400584 556801168