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489505920 = 27351092339
BaseRepresentation
bin11101001011010…
…100010010000000
31021010002110212220
4131023110102000
52000303142140
6120323451040
715062505651
oct3513242200
91233073786
10489505920
1123134a052
12117b26a80
137a54c697
1449023528
152ce93bd0
hex1d2d4480

489505920 has 128 divisors (see below), whose sum is σ = 1575288000. Its totient is φ = 129282048.

The previous prime is 489505909. The next prime is 489505921. The reversal of 489505920 is 29505984.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489505921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208111 + ... + 210449.

Almost surely, 2489505920 is an apocalyptic number.

489505920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787644000).

489505920 is an abundant number, since it is smaller than the sum of its proper divisors (1085782080).

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

489505920 is a wasteful number, since it uses less digits than its factorization.

489505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 489505920 is about 22124.7806768790. The cubic root of 489505920 is about 788.1084478879.

The spelling of 489505920 in words is "four hundred eighty-nine million, five hundred five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 192 218 240 320 327 384 436 480 545 640 654 872 960 1090 1308 1635 1744 1920 2180 2339 2616 3270 3488 4360 4678 5232 6540 6976 7017 8720 9356 10464 11695 13080 13952 14034 17440 18712 20928 23390 26160 28068 34880 35085 37424 41856 46780 52320 56136 69760 70170 74848 93560 104640 112272 140340 149696 187120 209280 224544 254951 280680 299392 374240 449088 509902 561360 748480 764853 898176 1019804 1122720 1274755 1496960 1529706 2039608 2245440 2549510 3059412 3824265 4079216 4490880 5099020 6118824 7648530 8158432 10198040 12237648 15297060 16316864 20396080 24475296 30594120 32633728 40792160 48950592 61188240 81584320 97901184 122376480 163168640 244752960 489505920