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482420016 = 2433131731163
BaseRepresentation
bin11100110000010…
…010010100110000
31020121202110212000
4130300102110300
51441444420031
6115511534000
714645334231
oct3460222460
91217673760
10482420016
1122834a331
1211568a300
1378c3b340
14480db088
152c5443e6
hex1cc12530

482420016 has 320 divisors, whose sum is σ = 1639895040. Its totient is φ = 134369280.

The previous prime is 482419997. The next prime is 482420069. The reversal of 482420016 is 610024284.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2959551 + ... + 2959713.

It is an arithmetic number, because the mean of its divisors is an integer number (5124672).

Almost surely, 2482420016 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 482420016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819947520).

482420016 is an abundant number, since it is smaller than the sum of its proper divisors (1157475024).

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

482420016 is a wasteful number, since it uses less digits than its factorization.

482420016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 482420016 is about 21964.0619194174. The cubic root of 482420016 is about 784.2871622638.

The spelling of 482420016 in words is "four hundred eighty-two million, four hundred twenty thousand, sixteen".