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489607920 = 243254391549
BaseRepresentation
bin11101001011101…
…101001011110000
31021010021122210200
4131023231023300
52000314423140
6120325555200
715063412224
oct3513551360
91233248720
10489607920
1123140974a
12117b75b00
137a586c39
144904c784
152ceb4030
hex1d2ed2f0

489607920 has 120 divisors (see below), whose sum is σ = 1649076000. Its totient is φ = 130180608.

The previous prime is 489607919. The next prime is 489607931. The reversal of 489607920 is 29706984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 315306 + ... + 316854.

It is an arithmetic number, because the mean of its divisors is an integer number (13742300).

Almost surely, 2489607920 is an apocalyptic number.

489607920 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 489607920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824538000).

489607920 is an abundant number, since it is smaller than the sum of its proper divisors (1159468080).

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

489607920 is a wasteful number, since it uses less digits than its factorization.

489607920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 489607920 is about 22127.0856644069. The cubic root of 489607920 is about 788.1631843582.

The spelling of 489607920 in words is "four hundred eighty-nine million, six hundred seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 439 720 878 1317 1549 1756 2195 2634 3098 3512 3951 4390 4647 5268 6196 6585 7024 7745 7902 8780 9294 10536 12392 13170 13941 15490 15804 17560 18588 19755 21072 23235 24784 26340 27882 30980 31608 35120 37176 39510 46470 52680 55764 61960 63216 69705 74352 79020 92940 105360 111528 123920 139410 158040 185880 223056 278820 316080 371760 557640 680011 1115280 1360022 2040033 2720044 3400055 4080066 5440088 6120099 6800110 8160132 10200165 10880176 12240198 13600220 16320264 20400330 24480396 27200440 30600495 32640528 40800660 48960792 54400880 61200990 81601320 97921584 122401980 163202640 244803960 489607920