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489353984 = 28735573
BaseRepresentation
bin11101001010101…
…111001100000000
31021002210202110122
4131022233030000
52000233311414
6120320315412
715061304000
oct3512571400
91232722418
10489353984
11231255989
12117a72b68
137a4c8492
1448dc4000
152ce63b8e
hex1d2af300

489353984 has 72 divisors (see below), whose sum is σ = 1139325600. Its totient is φ = 209685504.

The previous prime is 489353947. The next prime is 489354001.

It is a happy number.

489353984 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 85022 + ... + 90594.

Almost surely, 2489353984 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 489353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569662800).

489353984 is an abundant number, since it is smaller than the sum of its proper divisors (649971616).

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

489353984 is an frugal number, since it uses more digits than its factorization.

489353984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5582 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 53.

The square root of 489353984 is about 22121.3467944427. The cubic root of 489353984 is about 788.0269000583.

The spelling of 489353984 in words is "four hundred eighty-nine million, three hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1792 2744 3136 5488 5573 6272 10976 11146 12544 21952 22292 39011 43904 44584 78022 87808 89168 156044 178336 273077 312088 356672 546154 624176 713344 1092308 1248352 1426688 1911539 2184616 2496704 3823078 4369232 4993408 7646156 8738464 9986816 15292312 17476928 30584624 34953856 61169248 69907712 122338496 244676992 489353984