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485800308 = 223372412239
BaseRepresentation
bin11100111101001…
…011100101110100
31020212010012202000
4130331023211310
51443331102213
6120112215300
715016143300
oct3475134564
91225105660
10485800308
1122a248a64
1211683a530
1379852b06
144873ad00
152c9b0c73
hex1cf4b974

485800308 has 144 divisors (see below), whose sum is σ = 1501516800. Its totient is φ = 135354240.

The previous prime is 485800261. The next prime is 485800321. The reversal of 485800308 is 803008584.

485800308 is a `hidden beast` number, since 48 + 580 + 0 + 30 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215853 + ... + 218091.

It is an arithmetic number, because the mean of its divisors is an integer number (10427200).

Almost surely, 2485800308 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 485800308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750758400).

485800308 is an abundant number, since it is smaller than the sum of its proper divisors (1015716492).

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

485800308 is a wasteful number, since it uses less digits than its factorization.

485800308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 485800308 is about 22040.8781131787. The cubic root of 485800308 is about 786.1147201587.

The spelling of 485800308 in words is "four hundred eighty-five million, eight hundred thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 49 54 63 82 84 98 108 123 126 147 164 189 196 246 252 287 294 369 378 441 492 574 588 738 756 861 882 1107 1148 1323 1476 1722 1764 2009 2214 2239 2583 2646 3444 4018 4428 4478 5166 5292 6027 6717 7749 8036 8956 10332 12054 13434 15498 15673 18081 20151 24108 26868 30996 31346 36162 40302 47019 54243 60453 62692 72324 80604 91799 94038 108486 109711 120906 141057 183598 188076 216972 219422 241812 275397 282114 329133 367196 423171 438844 550794 564228 642593 658266 826191 846342 987399 1101588 1285186 1316532 1652382 1692684 1927779 1974798 2478573 2570372 2962197 3304764 3855558 3949596 4498151 4957146 5783337 5924394 7711116 8996302 9914292 11566674 11848788 13494453 17350011 17992604 23133348 26988906 34700022 40483359 53977812 69400044 80966718 121450077 161933436 242900154 485800308