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483366240 = 25325779607
BaseRepresentation
bin11100110011111…
…001010101100000
31020200112112211100
4130303321111200
51442220204430
6115544114400
714656355010
oct3463712540
91220475740
10483366240
11228936235
12115a65a00
13791acc36
14482a5c40
152c67e960
hex1ccf9560

483366240 has 288 divisors, whose sum is σ = 1912135680. Its totient is φ = 108905472.

The previous prime is 483366239. The next prime is 483366241. The reversal of 483366240 is 42663384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (483366239) and next prime (483366241).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 483366195 and 483366204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483366241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796017 + ... + 796623.

It is an arithmetic number, because the mean of its divisors is an integer number (6639360).

Almost surely, 2483366240 is an apocalyptic number.

483366240 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 483366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956067840).

483366240 is an abundant number, since it is smaller than the sum of its proper divisors (1428769440).

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

483366240 is a wasteful number, since it uses less digits than its factorization.

483366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 483366240 is about 21985.5916454391. The cubic root of 483366240 is about 784.7995972403.

The spelling of 483366240 in words is "four hundred eighty-three million, three hundred sixty-six thousand, two hundred forty".