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482476800 = 28352131933
BaseRepresentation
bin11100110000100…
…000001100000000
31020121212100202010
4130300200030000
51442003224200
6115513052520
714645661621
oct3460401400
91217770663
10482476800
11228388a63
121156b7140
1378c5b140
1448113a48
152c556150
hex1cc20300

482476800 has 216 divisors, whose sum is σ = 1715643664. Its totient is φ = 118702080.

The previous prime is 482476793. The next prime is 482476817. The reversal of 482476800 is 8674284.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248634 + ... + 250566.

Almost surely, 2482476800 is an apocalyptic number.

482476800 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 482476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857821832).

482476800 is an abundant number, since it is smaller than the sum of its proper divisors (1233166864).

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

482476800 is a wasteful number, since it uses less digits than its factorization.

482476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 482476800 is about 21965.3545384544. The cubic root of 482476800 is about 784.3179329709.

The spelling of 482476800 in words is "four hundred eighty-two million, four hundred seventy-six thousand, eight hundred".