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482000000 = 2756241
BaseRepresentation
bin11100101110101…
…011110010000000
31020120222010200212
4130232223302000
51441343000000
6115454533252
714641634546
oct3456536200
91216863625
10482000000
11228092809
12115507228
1378b22101
144802bd96
152c4aec35
hex1cbabc80

482000000 has 112 divisors (see below), whose sum is σ = 1205258010. Its totient is φ = 192000000.

The previous prime is 481999957. The next prime is 482000009. The reversal of 482000000 is 284.

It can be written as a sum of positive squares in 7 ways, for example, as 193543744 + 288456256 = 13912^2 + 16984^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (482000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999880 + ... + 2000120.

Almost surely, 2482000000 is an apocalyptic number.

482000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602629005).

482000000 is an abundant number, since it is smaller than the sum of its proper divisors (723258010).

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

482000000 is an frugal number, since it uses more digits than its factorization.

482000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 482000000 is about 21954.4984001001. The cubic root of 482000000 is about 784.0594845884.

Adding to 482000000 its reverse (284), we get a palindrome (482000284).

The spelling of 482000000 in words is "four hundred eighty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 241 250 320 400 482 500 625 640 800 964 1000 1205 1250 1600 1928 2000 2410 2500 3125 3200 3856 4000 4820 5000 6025 6250 7712 8000 9640 10000 12050 12500 15424 15625 16000 19280 20000 24100 25000 30125 30848 31250 38560 40000 48200 50000 60250 62500 77120 80000 96400 100000 120500 125000 150625 154240 192800 200000 241000 250000 301250 385600 400000 482000 500000 602500 753125 771200 964000 1000000 1205000 1506250 1928000 2000000 2410000 3012500 3765625 3856000 4820000 6025000 7531250 9640000 12050000 15062500 19280000 24100000 30125000 48200000 60250000 96400000 120500000 241000000 482000000