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486965696 = 2675320509
BaseRepresentation
bin11101000001101…
…000000111000000
31020221022102100112
4131001220013000
51444130400241
6120153210452
715032066030
oct3501500700
91227272315
10486965696
1122a974598
12117100a28
1379b703a9
14489618c0
152cb411eb
hex1d0681c0

486965696 has 56 divisors (see below), whose sum is σ = 1125260640. Its totient is φ = 204751872.

The previous prime is 486965693. The next prime is 486965747. The reversal of 486965696 is 696569684.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×4869656963 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486965693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13490 + ... + 33998.

It is an arithmetic number, because the mean of its divisors is an integer number (20093940).

Almost surely, 2486965696 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 486965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562630320).

486965696 is an abundant number, since it is smaller than the sum of its proper divisors (638294944).

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

486965696 is a wasteful number, since it uses less digits than its factorization.

486965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20581 (or 20571 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 59.

The square root of 486965696 is about 22067.2992457165. The cubic root of 486965696 is about 786.7428225931.

The spelling of 486965696 in words is "four hundred eighty-six million, nine hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 5936 11872 20509 23744 41018 82036 143563 164072 287126 328144 574252 656288 1086977 1148504 1312576 2173954 2297008 4347908 4594016 7608839 8695816 9188032 15217678 17391632 30435356 34783264 60870712 69566528 121741424 243482848 486965696