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483880320 = 273257111091
BaseRepresentation
bin11100110101110…
…110110110000000
31020201111200000100
4130311312312000
51442333132240
6120003122400
714663625540
oct3465666600
91221450010
10483880320
112291574a0
12116073400
137932cc21
144839b320
152c731e30
hex1cd76d80

483880320 has 384 divisors, whose sum is σ = 2085108480. Its totient is φ = 100454400.

The previous prime is 483880259. The next prime is 483880343. The reversal of 483880320 is 23088384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442975 + ... + 444065.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2483880320 is an apocalyptic number.

483880320 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 483880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042554240).

483880320 is an abundant number, since it is smaller than the sum of its proper divisors (1601228160).

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

483880320 is a wasteful number, since it uses less digits than its factorization.

483880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 483880320 is about 21997.2798318338. The cubic root of 483880320 is about 785.0777209483.

It can be divided in two parts, 4838 and 80320, that added together give a palindrome (85158).

The spelling of 483880320 in words is "four hundred eighty-three million, eight hundred eighty thousand, three hundred twenty".