Search a number
-
+
486605856 = 253112163257
BaseRepresentation
bin11101000000010…
…000010000100000
31020220122010202010
4131000100100200
51444032341411
6120141352520
715026036652
oct3500202040
91226563663
10486605856
1122a749200
12116b68740
1379a75679
14488aa6d2
152cabe7a6
hex1d010420

486605856 has 144 divisors (see below), whose sum is σ = 1418128992. Its totient is φ = 145981440.

The previous prime is 486605851. The next prime is 486605891. The reversal of 486605856 is 658506684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (486605851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1893280 + ... + 1893536.

It is an arithmetic number, because the mean of its divisors is an integer number (9848118).

Almost surely, 2486605856 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 486605856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709064496).

486605856 is an abundant number, since it is smaller than the sum of its proper divisors (931523136).

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

486605856 is a wasteful number, since it uses less digits than its factorization.

486605856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 486605856 is about 22059.1444983707. The cubic root of 486605856 is about 786.5489887493.

The spelling of 486605856 in words is "four hundred eighty-six million, six hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 163 176 242 257 264 326 352 363 484 489 514 528 652 726 771 968 978 1028 1056 1304 1452 1542 1793 1936 1956 2056 2608 2827 2904 3084 3586 3872 3912 4112 5216 5379 5654 5808 6168 7172 7824 8224 8481 10758 11308 11616 12336 14344 15648 16962 19723 21516 22616 24672 28688 31097 33924 39446 41891 43032 45232 57376 59169 62194 67848 78892 83782 86064 90464 93291 118338 124388 125673 135696 157784 167564 172128 186582 236676 248776 251346 271392 315568 335128 373164 460801 473352 497552 502692 631136 670256 746328 921602 946704 995104 1005384 1340512 1382403 1492656 1843204 1893408 2010768 2764806 2985312 3686408 4021536 5068811 5529612 7372816 10137622 11059224 14745632 15206433 20275244 22118448 30412866 40550488 44236896 60825732 81100976 121651464 162201952 243302928 486605856