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485782560 = 25325337349
BaseRepresentation
bin11100111101000…
…111010000100000
31020212002022101200
4130331013100200
51443330020220
6120112001200
715016040454
oct3475072040
91225068350
10485782560
1122a23669a
12116830200
1379847a03
1448734664
152c9aa890
hex1cf47420

485782560 has 72 divisors (see below), whose sum is σ = 1657737900. Its totient is φ = 129541632.

The previous prime is 485782547. The next prime is 485782571. The reversal of 485782560 is 65287584.

485782560 is a `hidden beast` number, since 4 + 8 + 5 + 7 + 82 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 470195856 + 15586704 = 21684^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167235 + ... + 170114.

Almost surely, 2485782560 is an apocalyptic number.

485782560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

485782560 is an abundant number, since it is smaller than the sum of its proper divisors (1171955340).

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

485782560 is a wasteful number, since it uses less digits than its factorization.

485782560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337370 (or 337359 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 485782560 is about 22040.4754939634. The cubic root of 485782560 is about 786.1051468603.

The spelling of 485782560 in words is "four hundred eighty-five million, seven hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 337349 674698 1012047 1349396 1686745 2024094 2698792 3036141 3373490 4048188 5060235 5397584 6072282 6746980 8096376 10120470 10795168 12144564 13493960 15180705 16192752 20240940 24289128 26987920 30361410 32385504 40481880 48578256 53975840 60722820 80963760 97156512 121445640 161927520 242891280 485782560