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447930000 = 243454779
BaseRepresentation
bin11010101100101…
…101111010010000
31011012212012110000
4122230231322100
51404132230000
6112240410000
714046225240
oct3254557220
91135765400
10447930000
1120a932491
12106016900
1371a5374b
14436bdb20
15294d0000
hex1ab2de90

447930000 has 500 divisors, whose sum is σ = 1874899840. Its totient is φ = 101088000.

The previous prime is 447929987. The next prime is 447930019. The reversal of 447930000 is 39744.

It is a tau number, because it is divible by the number of its divisors (500).

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 99 ways as a sum of consecutive naturals, for example, 5669961 + ... + 5670039.

Almost surely, 2447930000 is an apocalyptic number.

447930000 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 447930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937449920).

447930000 is an abundant number, since it is smaller than the sum of its proper divisors (1426969840).

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

447930000 is an equidigital number, since it uses as much as digits as its factorization.

447930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 447930000 is about 21164.3568293487. The cubic root of 447930000 is about 765.1326183001.

Adding to 447930000 its reverse (39744), we get a palindrome (447969744).

The spelling of 447930000 in words is "four hundred forty-seven million, nine hundred thirty thousand".