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487955664 = 2435717929
BaseRepresentation
bin11101000101011…
…001110011010000
31021000011201100000
4131011121303100
51444404040124
6120230330000
715043361160
oct3505316320
91230151300
10487955664
11230490349
121174b9900
137a128b81
1448b3c5a0
152cc896c9
hex1d159cd0

487955664 has 120 divisors (see below), whose sum is σ = 1618576960. Its totient is φ = 139408128.

The previous prime is 487955651. The next prime is 487955681. The reversal of 487955664 is 466559784.

487955664 is a `hidden beast` number, since 4 + 8 + 79 + 5 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 487955664.

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, 18252 + ... + 36180.

Almost surely, 2487955664 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 487955664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809288480).

487955664 is an abundant number, since it is smaller than the sum of its proper divisors (1130621296).

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

487955664 is a wasteful number, since it uses less digits than its factorization.

487955664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17959 (or 17941 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 487955664 is about 22089.7185133718. The cubic root of 487955664 is about 787.2755932017.

The spelling of 487955664 in words is "four hundred eighty-seven million, nine hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 17929 27216 35858 53787 71716 107574 125503 143432 161361 215148 251006 286864 322722 376509 430296 484083 502012 645444 753018 860592 968166 1004024 1129527 1290888 1452249 1506036 1936332 2008048 2259054 2581776 2904498 3012072 3388581 3872664 4356747 4518108 5808996 6024144 6777162 7745328 8713494 9036216 10165743 11617992 13554324 17426988 18072432 20331486 23235984 27108648 30497229 34853976 40662972 54217296 60994458 69707952 81325944 121988916 162651888 243977832 487955664