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489939984 = 243231710733
BaseRepresentation
bin11101001100111…
…110010000010000
31021010220112022100
4131030332100100
52000411034414
6120341040400
715066264312
oct3514762020
91233815270
10489939984
11231616186
121180b6100
137a672121
14490d77b2
152d02c609
hex1d33e410

489939984 has 60 divisors (see below), whose sum is σ = 1375605036. Its totient is φ = 162782976.

The previous prime is 489939971. The next prime is 489940001.

489939984 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 456762384 = 5760^2 + 21372^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40282 + ... + 51014.

Almost surely, 2489939984 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 489939984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687802518).

489939984 is an abundant number, since it is smaller than the sum of its proper divisors (885665052).

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

489939984 is a wasteful number, since it uses less digits than its factorization.

489939984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11064 (or 11055 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The square root of 489939984 is about 22134.5879564089. The cubic root of 489939984 is about 788.3413279045.

The spelling of 489939984 in words is "four hundred eighty-nine million, nine hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317 634 951 1268 1902 2536 2853 3804 5072 5706 7608 10733 11412 15216 21466 22824 32199 42932 45648 64398 85864 96597 128796 171728 193194 257592 386388 515184 772776 1545552 3402361 6804722 10207083 13609444 20414166 27218888 30621249 40828332 54437776 61242498 81656664 122484996 163313328 244969992 489939984