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482365984 = 25411093373
BaseRepresentation
bin11100110000000…
…101001000100000
31020121122201201211
4130300011020200
51441441202414
6115510435504
714645020552
oct3460051040
91217581654
10482365984
11228312781
12115662b94
1378c1c879
14480c54d2
152c5333c4
hex1cc05220

482365984 has 48 divisors (see below), whose sum is σ = 982036440. Its totient is φ = 233072640.

The previous prime is 482365981. The next prime is 482365993. The reversal of 482365984 is 489563284.

It can be written as a sum of positive squares in 4 ways, for example, as 456762384 + 25603600 = 21372^2 + 5060^2 .

It is not an unprimeable number, because it can be changed into a prime (482365981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141322 + ... + 144694.

Almost surely, 2482365984 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 482365984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491018220).

482365984 is an abundant number, since it is smaller than the sum of its proper divisors (499670456).

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

482365984 is a wasteful number, since it uses less digits than its factorization.

482365984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3525 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The square root of 482365984 is about 21962.8318756940. The cubic root of 482365984 is about 784.2578805973.

It can be divided in two parts, 4823 and 65984, that added together give a palindrome (70807).

The spelling of 482365984 in words is "four hundred eighty-two million, three hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 82 109 164 218 328 436 656 872 1312 1744 3373 3488 4469 6746 8938 13492 17876 26984 35752 53968 71504 107936 138293 143008 276586 367657 553172 735314 1106344 1470628 2212688 2941256 4425376 5882512 11765024 15073937 30147874 60295748 120591496 241182992 482365984