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482448960 = 2634572659
BaseRepresentation
bin11100110000011…
…001011001000000
31020121210221120000
4130300121121000
51442001331320
6115512320000
714645514510
oct3460313100
91217727500
10482448960
1122836a054
121156a3000
1378c4b576
1448107840
152c54cc90
hex1cc19640

482448960 has 280 divisors, whose sum is σ = 1962058560. Its totient is φ = 110232576.

The previous prime is 482448919. The next prime is 482448973. The reversal of 482448960 is 69844284.

It is a tau number, because it is divible by the number of its divisors (280).

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180111 + ... + 182769.

It is an arithmetic number, because the mean of its divisors is an integer number (7007352).

Almost surely, 2482448960 is an apocalyptic number.

482448960 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 482448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981029280).

482448960 is an abundant number, since it is smaller than the sum of its proper divisors (1479609600).

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

482448960 is a wasteful number, since it uses less digits than its factorization.

482448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 482448960 is about 21964.7208040530. The cubic root of 482448960 is about 784.3028470426.

The spelling of 482448960 in words is "four hundred eighty-two million, four hundred forty-eight thousand, nine hundred sixty".