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482288976 = 243213534861
BaseRepresentation
bin11100101111110…
…010010101010000
31020121111211002200
4130233302111100
51441431221401
6115505043200
714644250211
oct3457622520
91217454080
10482288976
1122826a934
12115626500
1378bc37c0
14480a5408
152c51a686
hex1cbf2550

482288976 has 120 divisors (see below), whose sum is σ = 1481295816. Its totient is φ = 145566720.

The previous prime is 482288957. The next prime is 482288987. The reversal of 482288976 is 679882284.

It can be written as a sum of positive squares in 4 ways, for example, as 136328976 + 345960000 = 11676^2 + 18600^2 .

It is a super-2 number, since 2×4822889762 = 465205312742257152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96786 + ... + 101646.

Almost surely, 2482288976 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 482288976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740647908).

482288976 is an abundant number, since it is smaller than the sum of its proper divisors (999006840).

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

482288976 is a wasteful number, since it uses less digits than its factorization.

482288976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4932 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 482288976 is about 21961.0786620330. The cubic root of 482288976 is about 784.2161437232.

The spelling of 482288976 in words is "four hundred eighty-two million, two hundred eighty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 53 72 78 104 106 117 144 156 159 208 212 234 312 318 424 468 477 624 636 689 848 936 954 1272 1378 1872 1908 2067 2544 2756 3816 4134 4861 5512 6201 7632 8268 9722 11024 12402 14583 16536 19444 24804 29166 33072 38888 43749 49608 58332 63193 77776 87498 99216 116664 126386 174996 189579 233328 252772 257633 349992 379158 505544 515266 568737 699984 758316 772899 1011088 1030532 1137474 1516632 1545798 2061064 2274948 2318697 3033264 3091596 3349229 4122128 4549896 4637394 6183192 6698458 9099792 9274788 10047687 12366384 13396916 18549576 20095374 26793832 30143061 37099152 40190748 53587664 60286122 80381496 120572244 160762992 241144488 482288976