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422845488 = 2433131743103
BaseRepresentation
bin11001001101000…
…001110000110000
31002110122202222000
4121031001300300
51331222023423
6105543014000
713323061452
oct3115016060
91073582860
10422845488
111a775a08a
12b973a300
13697acc40
14402302d2
15271c7843
hex19341c30

422845488 has 320 divisors, whose sum is σ = 1429908480. Its totient is φ = 118444032.

The previous prime is 422845483. The next prime is 422845517. The reversal of 422845488 is 884548224.

422845488 is a `hidden beast` number, since 4 + 22 + 84 + 548 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (422845483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4105245 + ... + 4105347.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2422845488 is an apocalyptic number.

422845488 is a gapful number since it is divisible by the number (48) 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 422845488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

422845488 is an abundant number, since it is smaller than the sum of its proper divisors (1007062992).

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

422845488 is a wasteful number, since it uses less digits than its factorization.

422845488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The square root of 422845488 is about 20563.2071428559. The cubic root of 422845488 is about 750.5746635699.

The spelling of 422845488 in words is "four hundred twenty-two million, eight hundred forty-five thousand, four hundred eighty-eight".