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489214080 = 273459437
BaseRepresentation
bin11101001010001…
…101000010000000
31021002112122120000
4131022031002000
52000214322310
6120313320000
715060152055
oct3512150200
91232478500
10489214080
1123116a863
12117a06000
137a4798b4
1448d8902c
152ce374c0
hex1d28d080

489214080 has 160 divisors (see below), whose sum is σ = 1747256940. Its totient is φ = 130443264.

The previous prime is 489214073. The next prime is 489214081. The reversal of 489214080 is 80412984.

It can be written as a sum of positive squares in 2 ways, for example, as 488586816 + 627264 = 22104^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (489214081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47122 + ... + 56558.

Almost surely, 2489214080 is an apocalyptic number.

489214080 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 489214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873628470).

489214080 is an abundant number, since it is smaller than the sum of its proper divisors (1258042860).

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

489214080 is an equidigital number, since it uses as much as digits as its factorization.

489214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9468 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 489214080 is about 22118.1843739490. The cubic root of 489214080 is about 787.9517951736.

The spelling of 489214080 in words is "four hundred eighty-nine million, two hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 9437 10368 12960 17280 18874 25920 28311 37748 47185 51840 56622 75496 84933 94370 113244 141555 150992 169866 188740 226488 254799 283110 301984 339732 377480 424665 452976 509598 566220 603968 679464 754960 764397 849330 905952 1019196 1132440 1207936 1273995 1358928 1509920 1528794 1698660 1811904 2038392 2264880 2547990 2717856 3019840 3057588 3397320 3623808 3821985 4076784 4529760 5095980 5435712 6039680 6115176 6794640 7643970 8153568 9059520 10191960 10871424 12230352 13589280 15287940 16307136 18119040 20383920 24460704 27178560 30575880 32614272 40767840 48921408 54357120 61151760 81535680 97842816 122303520 163071360 244607040 489214080