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490885584 = 24371638963
BaseRepresentation
bin11101010000100…
…101000111010000
31021012200120102120
4131100211013100
52001131314314
6120413214240
715110313210
oct3520450720
91235616376
10490885584
11232101672
12118491380
137a913657
14492a2240
152d1678a9
hex1d4251d0

490885584 has 80 divisors (see below), whose sum is σ = 1458335232. Its totient is φ = 139377024.

The previous prime is 490885583. The next prime is 490885609. The reversal of 490885584 is 485588094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490885583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50287 + ... + 59249.

Almost surely, 2490885584 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 490885584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729167616).

490885584 is an abundant number, since it is smaller than the sum of its proper divisors (967449648).

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

490885584 is a wasteful number, since it uses less digits than its factorization.

490885584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9144 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The square root of 490885584 is about 22155.9378948398. The cubic root of 490885584 is about 788.8481767113.

The spelling of 490885584 in words is "four hundred ninety million, eight hundred eighty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 326 336 489 652 978 1141 1304 1956 2282 2608 3423 3912 4564 6846 7824 8963 9128 13692 17926 18256 26889 27384 35852 53778 54768 62741 71704 107556 125482 143408 188223 215112 250964 376446 430224 501928 752892 1003856 1460969 1505784 2921938 3011568 4382907 5843876 8765814 10226783 11687752 17531628 20453566 23375504 30680349 35063256 40907132 61360698 70126512 81814264 122721396 163628528 245442792 490885584