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483187968 = 2832209717
BaseRepresentation
bin11100110011001…
…101110100000000
31020200012111021200
4130303031310000
51442144003333
6115540221200
714655013164
oct3463156400
91220174250
10483187968
112288242aa
1211599a800
1379149a53
144825aca4
152c646c13
hex1cccdd00

483187968 has 54 divisors (see below), whose sum is σ = 1393156674. Its totient is φ = 161061888.

The previous prime is 483187963. The next prime is 483188021. The reversal of 483187968 is 869781384.

It can be written as a sum of positive squares in only one way, i.e., 385415424 + 97772544 = 19632^2 + 9888^2 .

It is a super-2 number, since 2×4831879682 = 466941224839938048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483187963) 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 5 ways as a sum of consecutive naturals, for example, 102555 + ... + 107162.

Almost surely, 2483187968 is an apocalyptic number.

483187968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

483187968 is an abundant number, since it is smaller than the sum of its proper divisors (909968706).

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

483187968 is a wasteful number, since it uses less digits than its factorization.

483187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209739 (or 209722 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 483187968 is about 21981.5369799293. The cubic root of 483187968 is about 784.7031038117.

The spelling of 483187968 in words is "four hundred eighty-three million, one hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 209717 419434 629151 838868 1258302 1677736 1887453 2516604 3355472 3774906 5033208 6710944 7549812 10066416 13421888 15099624 20132832 26843776 30199248 40265664 53687552 60398496 80531328 120796992 161062656 241593984 483187968