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482039712 = 253271121737
BaseRepresentation
bin11100101110110…
…101011110100000
31020121001011011200
4130232311132200
51441400232322
6115455441200
714642161410
oct3456653640
91217034150
10482039712
1122810a630
12115526200
1378b371cb
144803c640
152c4bb8ac
hex1cbb57a0

482039712 has 144 divisors (see below), whose sum is σ = 1709128512. Its totient is φ = 125199360.

The previous prime is 482039689. The next prime is 482039729. The reversal of 482039712 is 217930284.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11308 + ... + 33044.

It is an arithmetic number, because the mean of its divisors is an integer number (11868948).

Almost surely, 2482039712 is an apocalyptic number.

482039712 is a gapful number since it is divisible by the number (42) 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 482039712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854564256).

482039712 is an abundant number, since it is smaller than the sum of its proper divisors (1227088800).

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

482039712 is a wasteful number, since it uses less digits than its factorization.

482039712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21771 (or 21760 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 482039712 is about 21955.4027974893. The cubic root of 482039712 is about 784.0810168948.

Adding to 482039712 its reverse (217930284), we get a palindrome (699969996).

The spelling of 482039712 in words is "four hundred eighty-two million, thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 21737 22176 43474 65211 86948 130422 152159 173896 195633 239107 260844 304318 347792 391266 456477 478214 521688 608636 695584 717321 782532 912954 956428 1043376 1217272 1369431 1434642 1565064 1673749 1825908 1912856 2086752 2151963 2434544 2738862 2869284 3130128 3347498 3651816 3825712 4303926 4869088 5021247 5477724 5738568 6260256 6694996 7303632 7651424 8607852 10042494 10955448 11477136 13389992 14607264 15063741 17215704 20084988 21910896 22954272 26779984 30127482 34431408 40169976 43821792 53559968 60254964 68862816 80339952 120509928 160679904 241019856 482039712