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482693856 = 253109163283
BaseRepresentation
bin11100110001010…
…101001011100000
31020122021101111020
4130301111023200
51442032200411
6115521445440
714650554501
oct3461251340
91218241436
10482693856
11228517047
121157a0880
1379005b88
144816cba8
152c59a606
hex1cc552e0

482693856 has 96 divisors (see below), whose sum is σ = 1291086720. Its totient is φ = 157883904.

The previous prime is 482693837. The next prime is 482693867. The reversal of 482693856 is 658396284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 482693799 and 482693808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705491 + ... + 1705773.

It is an arithmetic number, because the mean of its divisors is an integer number (13448820).

Almost surely, 2482693856 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 482693856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645543360).

482693856 is an abundant number, since it is smaller than the sum of its proper divisors (808392864).

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

482693856 is a wasteful number, since it uses less digits than its factorization.

482693856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 482693856 is about 21970.2948546441. The cubic root of 482693856 is about 784.4355312958.

It can be divided in two parts, 48269 and 3856, that added together give a palindrome (52125).

The spelling of 482693856 in words is "four hundred eighty-two million, six hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 163 218 283 326 327 436 489 566 652 654 849 872 978 1132 1304 1308 1698 1744 1956 2264 2608 2616 3396 3488 3912 4528 5216 5232 6792 7824 9056 10464 13584 15648 17767 27168 30847 35534 46129 53301 61694 71068 92258 92541 106602 123388 138387 142136 184516 185082 213204 246776 276774 284272 369032 370164 426408 493552 553548 568544 738064 740328 852816 987104 1107096 1476128 1480656 1705632 2214192 2961312 4428384 5028061 10056122 15084183 20112244 30168366 40224488 60336732 80448976 120673464 160897952 241346928 482693856