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482585268 = 2231121272617
BaseRepresentation
bin11100110000111…
…010101010110100
31020122001212112110
4130300322222310
51442020212033
6115515251020
714646623064
oct3460725264
91218055473
10482585268
11228452500
12115749a70
1378c98619
14481413a4
152c578363
hex1cc3aab4

482585268 has 72 divisors (see below), whose sum is σ = 1247927296. Its totient is φ = 145031040.

The previous prime is 482585251. The next prime is 482585269. The reversal of 482585268 is 862585284.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482585269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183096 + ... + 185712.

Almost surely, 2482585268 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 482585268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623963648).

482585268 is an abundant number, since it is smaller than the sum of its proper divisors (765342028).

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

482585268 is a wasteful number, since it uses less digits than its factorization.

482585268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2760 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 482585268 is about 21967.8234697933. The cubic root of 482585268 is about 784.3767040338.

The spelling of 482585268 in words is "four hundred eighty-two million, five hundred eighty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 127 132 242 254 363 381 484 508 726 762 1397 1452 1524 2617 2794 4191 5234 5588 7851 8382 10468 15367 15702 16764 28787 30734 31404 46101 57574 61468 86361 92202 115148 172722 184404 316657 332359 345444 633314 664718 949971 997077 1266628 1329436 1899942 1994154 3655949 3799884 3988308 7311898 10967847 14623796 21935694 40215439 43871388 80430878 120646317 160861756 241292634 482585268