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489058960 = 24513261593
BaseRepresentation
bin11101001001100…
…111001010010000
31021002020202202211
4131021213022100
52000144341320
6120310121504
715055634605
oct3511471220
91232222684
10489058960
11231074265
12117950294
137a424100
1448d486ac
152ce0655a
hex1d267290

489058960 has 120 divisors (see below), whose sum is σ = 1253551464. Its totient is φ = 177315840.

The previous prime is 489058943. The next prime is 489058963. The reversal of 489058960 is 69850984.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 387774864 + 101284096 = 19692^2 + 10064^2 .

It is not an unprimeable number, because it can be changed into a prime (489058963) 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, 824424 + ... + 825016.

Almost surely, 2489058960 is an apocalyptic number.

489058960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489058960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626775732).

489058960 is an abundant number, since it is smaller than the sum of its proper divisors (764492504).

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

489058960 is a wasteful number, since it uses less digits than its factorization.

489058960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 489058960 is about 22114.6774789957. The cubic root of 489058960 is about 787.8685051183.

The spelling of 489058960 in words is "four hundred eighty-nine million, fifty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 61 65 80 104 122 130 169 208 244 260 305 338 488 520 593 610 676 793 845 976 1040 1186 1220 1352 1586 1690 2372 2440 2704 2965 3172 3380 3965 4744 4880 5930 6344 6760 7709 7930 9488 10309 11860 12688 13520 15418 15860 20618 23720 30836 31720 36173 38545 41236 47440 51545 61672 63440 72346 77090 82472 100217 103090 123344 144692 154180 164944 180865 200434 206180 289384 308360 361730 400868 412360 470249 501085 578768 616720 723460 801736 824720 940498 1002170 1446920 1603472 1880996 2004340 2351245 2893840 3761992 4008680 4702490 6113237 7523984 8017360 9404980 12226474 18809960 24452948 30566185 37619920 48905896 61132370 97811792 122264740 244529480 489058960