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489590712 = 2332131633209
BaseRepresentation
bin11101001011101…
…000111110111000
31021010020210012100
4131023220332320
52000313400322
6120325343400
715063311112
oct3513507670
91233223170
10489590712
112313a7826
12117b67b60
137a57c160
14490463b2
152ceaddac
hex1d2e8fb8

489590712 has 96 divisors (see below), whose sum is σ = 1437181200. Its totient is φ = 149672448.

The previous prime is 489590707. The next prime is 489590741. The reversal of 489590712 is 217095984.

489590712 is a `hidden beast` number, since 48 + 9 + 590 + 7 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150964 + ... + 154172.

Almost surely, 2489590712 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 489590712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718590600).

489590712 is an abundant number, since it is smaller than the sum of its proper divisors (947590488).

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

489590712 is a wasteful number, since it uses less digits than its factorization.

489590712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 489590712 is about 22126.6968162896. The cubic root of 489590712 is about 788.1539505268.

The spelling of 489590712 in words is "four hundred eighty-nine million, five hundred ninety thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 163 234 312 326 468 489 652 936 978 1304 1467 1956 2119 2934 3209 3912 4238 5868 6357 6418 8476 9627 11736 12714 12836 16952 19071 19254 25428 25672 28881 38142 38508 41717 50856 57762 76284 77016 83434 115524 125151 152568 166868 231048 250302 333736 375453 500604 523067 750906 1001208 1046134 1501812 1569201 2092268 3003624 3138402 4184536 4707603 6276804 6799871 9415206 12553608 13599742 18830412 20399613 27199484 37660824 40799226 54398968 61198839 81598452 122397678 163196904 244795356 489590712