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485982756 = 223272816863
BaseRepresentation
bin11100111101111…
…000001000100100
31020212110111000100
4130331320020210
51443402422011
6120120144100
715020533230
oct3475701044
91225414010
10485982756
1122a363046
12116908030
13798b7b7c
14487875c0
152c9e9d56
hex1cf78224

485982756 has 72 divisors (see below), whose sum is σ = 1409151744. Its totient is φ = 138337920.

The previous prime is 485982733. The next prime is 485982769. The reversal of 485982756 is 657289584.

485982756 is a `hidden beast` number, since 48 + 598 + 2 + 7 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67381 + ... + 74243.

It is an arithmetic number, because the mean of its divisors is an integer number (19571552).

Almost surely, 2485982756 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 485982756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704575872).

485982756 is an abundant number, since it is smaller than the sum of its proper divisors (923168988).

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

485982756 is a wasteful number, since it uses less digits than its factorization.

485982756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7156 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 485982756 is about 22045.0165797171. The cubic root of 485982756 is about 786.2131193740.

The spelling of 485982756 in words is "four hundred eighty-five million, nine hundred eighty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 281 562 843 1124 1686 1967 2529 3372 3934 5058 5901 6863 7868 10116 11802 13726 17703 20589 23604 27452 35406 41178 48041 61767 70812 82356 96082 123534 144123 192164 247068 288246 432369 576492 864738 1729476 1928503 3857006 5785509 7714012 11571018 13499521 17356527 23142036 26999042 34713054 40498563 53998084 69426108 80997126 121495689 161994252 242991378 485982756