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447998440 = 23593711953
BaseRepresentation
bin11010101100111…
…110100111101000
31011012222200022211
4122230332213220
51404141422230
6112242054504
714046631621
oct3254764750
91135880284
10447998440
1120a97994a
1210604a434
1371a78946
14436daa48
15294e542a
hex1ab3e9e8

447998440 has 32 divisors (see below), whose sum is σ = 1009156680. Its totient is φ = 178993152.

The previous prime is 447998437. The next prime is 447998461. The reversal of 447998440 is 44899744.

It can be written as a sum of positive squares in 4 ways, for example, as 343509156 + 104489284 = 18534^2 + 10222^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31504 + ... + 43456.

Almost surely, 2447998440 is an apocalyptic number.

447998440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447998440 is an abundant number, since it is smaller than the sum of its proper divisors (561158240).

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

447998440 is a wasteful number, since it uses less digits than its factorization.

447998440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12901 (or 12897 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 447998440 is about 21165.9736369485. The cubic root of 447998440 is about 765.1715849613.

The spelling of 447998440 in words is "four hundred forty-seven million, nine hundred ninety-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 937 1874 3748 4685 7496 9370 11953 18740 23906 37480 47812 59765 95624 119530 239060 478120 11199961 22399922 44799844 55999805 89599688 111999610 223999220 447998440