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482468680 = 23573165229
BaseRepresentation
bin11100110000011…
…110001101001000
31020121211221121101
4130300132031020
51442002444210
6115512551144
714645626141
oct3460361510
91217757541
10482468680
11228382951
121156b24b4
1378c57535
1448110ac8
152c553a3a
hex1cc1e348

482468680 has 32 divisors (see below), whose sum is σ = 1100431800. Its totient is φ = 190342656.

The previous prime is 482468659. The next prime is 482468681. The reversal of 482468680 is 86864284.

It can be written as a sum of positive squares in 4 ways, for example, as 352463076 + 130005604 = 18774^2 + 11402^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 482468680.

It is not an unprimeable number, because it can be changed into a prime (482468681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79695 + ... + 85534.

Almost surely, 2482468680 is an apocalyptic number.

482468680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482468680 is an abundant number, since it is smaller than the sum of its proper divisors (617963120).

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

482468680 is a wasteful number, since it uses less digits than its factorization.

482468680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165313 (or 165309 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The square root of 482468680 is about 21965.1697011428. The cubic root of 482468680 is about 784.3135329684.

The spelling of 482468680 in words is "four hundred eighty-two million, four hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 165229 330458 660916 826145 1321832 1652290 3304580 6609160 12061717 24123434 48246868 60308585 96493736 120617170 241234340 482468680