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482656320 = 263652069
BaseRepresentation
bin11100110001001…
…100000001000000
31020122012111000000
4130301030001000
51442030000240
6115521000000
714650340166
oct3461140100
91218174000
10482656320
112284a0923
12115783000
1378cc1a73
144815d236
152c58e430
hex1cc4c040

482656320 has 196 divisors, whose sum is σ = 1724032620. Its totient is φ = 128646144.

The previous prime is 482656289. The next prime is 482656337. The reversal of 482656320 is 23656284.

It can be written as a sum of positive squares in 2 ways, for example, as 121352256 + 361304064 = 11016^2 + 19008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 232246 + ... + 234314.

Almost surely, 2482656320 is an apocalyptic number.

482656320 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 482656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862016310).

482656320 is an abundant number, since it is smaller than the sum of its proper divisors (1241376300).

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

482656320 is an equidigital number, since it uses as much as digits as its factorization.

482656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 482656320 is about 21969.4405936974. The cubic root of 482656320 is about 784.4151972648.

Subtracting from 482656320 its sum of digits (36), we obtain a palindrome (482656284).

The spelling of 482656320 in words is "four hundred eighty-two million, six hundred fifty-six thousand, three hundred twenty".