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485636256 = 25337211471
BaseRepresentation
bin11100111100100…
…011100010100000
31020211210212201000
4130330203202200
51443310330011
6120104512000
715014561100
oct3474434240
91224725630
10485636256
1122a146786
1211677b600
13797c6241
14486d7200
152c97c356
hex1cf238a0

485636256 has 144 divisors (see below), whose sum is σ = 1647838080. Its totient is φ = 138741120.

The previous prime is 485636251. The next prime is 485636279. The reversal of 485636256 is 652636584.

485636256 is a `hidden beast` number, since 4 + 8 + 5 + 636 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (485636251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36601 + ... + 48071.

It is an arithmetic number, because the mean of its divisors is an integer number (11443320).

Almost surely, 2485636256 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 485636256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823919040).

485636256 is an abundant number, since it is smaller than the sum of its proper divisors (1162201824).

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

485636256 is a wasteful number, since it uses less digits than its factorization.

485636256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11504 (or 11483 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 485636256 is about 22037.1562593725. The cubic root of 485636256 is about 786.0262213734.

The spelling of 485636256 in words is "four hundred eighty-five million, six hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 11471 14112 21168 22942 34413 42336 45884 68826 80297 91768 103239 137652 160594 183536 206478 240891 275304 309717 321188 367072 412956 481782 550608 562079 619434 642376 722673 825912 963564 1101216 1124158 1238868 1284752 1445346 1651824 1686237 1927128 2168019 2248316 2477736 2569504 2890692 3303648 3372474 3854256 4336038 4496632 4955472 5058711 5781384 6744948 7708512 8672076 8993264 9910944 10117422 11562768 13489896 15176133 17344152 17986528 20234844 23125536 26979792 30352266 34688304 40469688 53959584 60704532 69376608 80939376 121409064 161878752 242818128 485636256