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485769256 = 23729319649
BaseRepresentation
bin11100111101000…
…100000000101000
31020212001122010221
4130331010000220
51443324104011
6120111415424
715015653620
oct3475040050
91225048127
10485769256
1122a2276a5
12116824574
137984193b
144872d880
152c9a6971
hex1cf44028

485769256 has 64 divisors (see below), whose sum is σ = 1111680000. Its totient is φ = 194503680.

The previous prime is 485769253. The next prime is 485769281. The reversal of 485769256 is 652967584.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (485769253) 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 15 ways as a sum of consecutive naturals, for example, 45520 + ... + 55168.

It is an arithmetic number, because the mean of its divisors is an integer number (17370000).

Almost surely, 2485769256 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 485769256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555840000).

485769256 is an abundant number, since it is smaller than the sum of its proper divisors (625910744).

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

485769256 is a wasteful number, since it uses less digits than its factorization.

485769256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9718 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The square root of 485769256 is about 22040.1736835262. The cubic root of 485769256 is about 786.0979705094.

The spelling of 485769256 in words is "four hundred eighty-five million, seven hundred sixty-nine thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 29 31 56 58 62 116 124 203 217 232 248 406 434 812 868 899 1624 1736 1798 3596 6293 7192 9649 12586 19298 25172 38596 50344 67543 77192 135086 270172 279821 299119 540344 559642 598238 1119284 1196476 1958747 2093833 2238568 2392952 3917494 4187666 7834988 8375332 8674451 15669976 16750664 17348902 34697804 60721157 69395608 121442314 242884628 485769256