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486577364 = 227132312107
BaseRepresentation
bin11101000000001…
…001010011010100
31020220120200122212
4131000021103110
51444030433424
6120141012552
715025560620
oct3500112324
91226520585
10486577364
1122a729859
12116b54158
1379a65700
14488a0180
152cab610e
hex1d0094d4

486577364 has 108 divisors (see below), whose sum is σ = 1099036512. Its totient is φ = 184541760.

The previous prime is 486577363. The next prime is 486577367. The reversal of 486577364 is 463775684.

Its product of digits (3386880) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486577363) 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 35 ways as a sum of consecutive naturals, for example, 4547399 + ... + 4547505.

It is an arithmetic number, because the mean of its divisors is an integer number (10176264).

Almost surely, 2486577364 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 486577364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549518256).

486577364 is an abundant number, since it is smaller than the sum of its proper divisors (612459148).

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

486577364 is a wasteful number, since it uses less digits than its factorization.

486577364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 160 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 50.

The square root of 486577364 is about 22058.4986796473. The cubic root of 486577364 is about 786.5336369741.

The spelling of 486577364 in words is "four hundred eighty-six million, five hundred seventy-seven thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 107 124 169 182 214 217 338 364 403 428 434 676 749 806 868 961 1183 1391 1498 1612 1922 2366 2782 2821 2996 3317 3844 4732 5239 5564 5642 6634 6727 9737 10478 11284 12493 13268 13454 18083 19474 20956 23219 24986 26908 36166 36673 38948 43121 46438 49972 72332 73346 86242 87451 92876 102827 126581 146692 162409 172484 174902 205654 253162 301847 324818 349804 411308 506324 560573 603694 649636 719789 1121146 1136863 1207388 1336751 1439578 2242292 2273726 2673502 2879156 3924011 4547452 5347004 7848022 9357257 15696044 17377763 18714514 34755526 37429028 69511052 121644341 243288682 486577364