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486814536 = 2336136421
BaseRepresentation
bin11101000001000…
…011001101001000
31020221000202000000
4131001003031020
51444111031121
6120150043000
715030566235
oct3501031510
91227022000
10486814536
1122a880a6a
12117049460
1379b19650
144892278c
152cb11526
hex1d043348

486814536 has 112 divisors (see below), whose sum is σ = 1474041660. Its totient is φ = 149765760.

The previous prime is 486814463. The next prime is 486814543. The reversal of 486814536 is 635418684.

486814536 is a `hidden beast` number, since 48 + 68 + 14 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 441252036 + 45562500 = 21006^2 + 6750^2 .

It is a junction number, because it is equal to n+sod(n) for n = 486814491 and 486814500.

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 27 ways as a sum of consecutive naturals, for example, 72606 + ... + 79026.

Almost surely, 2486814536 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 486814536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737020830).

486814536 is an abundant number, since it is smaller than the sum of its proper divisors (987227124).

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

486814536 is a wasteful number, since it uses less digits than its factorization.

486814536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6439 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 486814536 is about 22063.8740025409. The cubic root of 486814536 is about 786.6614093619.

The spelling of 486814536 in words is "four hundred eighty-six million, eight hundred fourteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2808 2916 3159 4212 5832 6318 6421 8424 9477 12636 12842 18954 19263 25272 25684 37908 38526 51368 57789 75816 77052 83473 115578 154104 166946 173367 231156 250419 333892 346734 462312 500838 520101 667784 693468 751257 1001676 1040202 1386936 1502514 1560303 2003352 2080404 2253771 3005028 3120606 4160808 4507542 4680909 6010056 6241212 6761313 9015084 9361818 12482424 13522626 18030168 18723636 20283939 27045252 37447272 40567878 54090504 60851817 81135756 121703634 162271512 243407268 486814536