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489144825 = 345213171093
BaseRepresentation
bin11101001001111…
…100000111111001
31021002102010120000
4131021330013321
52000210113300
6120312023213
715056443131
oct3511740771
91232363500
10489144825
11231122824
12117991b09
137a454210
1448d6bac1
152ce21c00
hex1d27c1f9

489144825 has 120 divisors (see below), whose sum is σ = 1034105688. Its totient is φ = 226437120.

The previous prime is 489144779. The next prime is 489144857. The reversal of 489144825 is 528441984.

489144825 is a `hidden beast` number, since 489 + 144 + 8 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 29942784 + 459202041 = 5472^2 + 21429^2 .

It is not a de Polignac number, because 489144825 - 210 = 489143801 is a prime.

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

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 119 ways as a sum of consecutive naturals, for example, 446979 + ... + 448071.

Almost surely, 2489144825 is an apocalyptic number.

489144825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

489144825 is an abundant number, since it is smaller than the sum of its proper divisors (544960863).

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

489144825 is a wasteful number, since it uses less digits than its factorization.

489144825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1131 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 489144825 is about 22116.6187515181. The cubic root of 489144825 is about 787.9146116044.

The spelling of 489144825 in words is "four hundred eighty-nine million, one hundred forty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 81 85 117 135 153 195 221 225 255 325 351 405 425 459 585 663 675 765 975 1053 1093 1105 1275 1377 1755 1989 2025 2295 2925 3279 3315 3825 5265 5465 5525 5967 6885 8775 9837 9945 11475 14209 16395 16575 17901 18581 26325 27325 29511 29835 34425 42627 49185 49725 55743 71045 81975 88533 89505 92905 127881 147555 149175 167229 213135 241553 245925 278715 355225 383643 442665 447525 464525 501687 639405 724659 737775 836145 1065675 1150929 1207765 1393575 1505061 1918215 2173977 2213325 2508435 3197025 3623295 4180725 5754645 6038825 6521931 7525305 9591075 10869885 12542175 18116475 19565793 28773225 32609655 37626525 54349425 97828965 163048275 489144825