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487381536 = 2534593187
BaseRepresentation
bin11101000011001…
…101101000100000
31020222002112210000
4131003031220200
51444232202121
6120210140000
715035450265
oct3503155040
91228075700
10487381536
11230128a64
12117281600
1379c87755
1448a2d26c
152cbc4526
hex1d0cda20

487381536 has 120 divisors (see below), whose sum is σ = 1458127440. Its totient is φ = 159656832.

The previous prime is 487381529. The next prime is 487381553. The reversal of 487381536 is 635183784.

487381536 is a `hidden beast` number, since 4 + 87 + 38 + 1 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 487381491 and 487381500.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151335 + ... + 154521.

It is an arithmetic number, because the mean of its divisors is an integer number (12151062).

Almost surely, 2487381536 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 487381536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729063720).

487381536 is an abundant number, since it is smaller than the sum of its proper divisors (970745904).

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

487381536 is a wasteful number, since it uses less digits than its factorization.

487381536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3251 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 487381536 is about 22076.7193214934. The cubic root of 487381536 is about 786.9667028769.

The spelling of 487381536 in words is "four hundred eighty-seven million, three hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 472 531 648 708 864 944 1062 1296 1416 1593 1888 2124 2592 2832 3186 3187 4248 4779 5664 6372 6374 8496 9558 9561 12744 12748 16992 19116 19122 25488 25496 28683 38232 38244 50976 50992 57366 76464 76488 86049 101984 114732 152928 152976 172098 188033 229464 258147 305952 344196 376066 458928 516294 564099 688392 752132 917856 1032588 1128198 1376784 1504264 1692297 2065176 2256396 2753568 3008528 3384594 4130352 4512792 5076891 6017056 6769188 8260704 9025584 10153782 13538376 15230673 18051168 20307564 27076752 30461346 40615128 54153504 60922692 81230256 121845384 162460512 243690768 487381536