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482500800 = 2635521773
BaseRepresentation
bin11100110000100…
…110000011000000
31020121220120200000
4130300212003000
51442010011200
6115513400000
714646121605
oct3460460300
91217816600
10482500800
112283a4aa1
12115709000
1378c69042
144811c6ac
152c55d300
hex1cc260c0

482500800 has 504 divisors, whose sum is σ = 1908846576. Its totient is φ = 119439360.

The previous prime is 482500793. The next prime is 482500819. The reversal of 482500800 is 8005284.

482500800 is a `hidden beast` number, since 4 + 82 + 500 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6609564 + ... + 6609636.

It is an arithmetic number, because the mean of its divisors is an integer number (3787394).

Almost surely, 2482500800 is an apocalyptic number.

482500800 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 482500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954423288).

482500800 is an abundant number, since it is smaller than the sum of its proper divisors (1426345776).

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

482500800 is a wasteful number, since it uses less digits than its factorization.

482500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 482500800 is about 21965.9008465394. The cubic root of 482500800 is about 784.3309376157.

The spelling of 482500800 in words is "four hundred eighty-two million, five hundred thousand, eight hundred".