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485505584 = 24176726641
BaseRepresentation
bin11100111100000…
…011101000110000
31020211120020110022
4130330003220300
51443242134314
6120102023012
715013505114
oct3474035060
91224506408
10485505584
1122a067593
12116717a68
137977b915
14486a1744
152c95378e
hex1cf03a30

485505584 has 40 divisors (see below), whose sum is σ = 1010904048. Its totient is φ = 225054720.

The previous prime is 485505571. The next prime is 485505593.

485505584 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, 4904 + ... + 31544.

Almost surely, 2485505584 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 485505584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505452024).

485505584 is an abundant number, since it is smaller than the sum of its proper divisors (525398464).

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

485505584 is a wasteful number, since it uses less digits than its factorization.

485505584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26733 (or 26727 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 44.

The square root of 485505584 is about 22034.1912490565. The cubic root of 485505584 is about 785.9557153579.

The spelling of 485505584 in words is "four hundred eighty-five million, five hundred five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 536 1072 1139 2278 4556 9112 18224 26641 53282 106564 213128 426256 452897 905794 1784947 1811588 3569894 3623176 7139788 7246352 14279576 28559152 30344099 60688198 121376396 242752792 485505584