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483852096 = 263371317181
BaseRepresentation
bin11100110101101…
…111111101000000
31020201110020022000
4130311233331000
51442331231341
6120002344000
714663450340
oct3465577500
91221406260
10483852096
11229138272
1211605b000
1379320120
1448390d20
152c7288b6
hex1cd6ff40

483852096 has 448 divisors, whose sum is σ = 1863912960. Its totient is φ = 119439360.

The previous prime is 483852077. The next prime is 483852137. The reversal of 483852096 is 690258384.

483852096 is a `hidden beast` number, since 4 + 8 + 38 + 520 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4838520962 = 468225701607186432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2673126 + ... + 2673306.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2483852096 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 483852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931956480).

483852096 is an abundant number, since it is smaller than the sum of its proper divisors (1380060864).

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

483852096 is a wasteful number, since it uses less digits than its factorization.

483852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 483852096 is about 21996.6382886113. The cubic root of 483852096 is about 785.0624565234.

The spelling of 483852096 in words is "four hundred eighty-three million, eight hundred fifty-two thousand, ninety-six".