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450422016 = 28311237131
BaseRepresentation
bin11010110110001…
…110010100000000
31011101112210211220
4122312032110000
51410302001031
6112410035040
714106344502
oct3266162400
91141483756
10450422016
11211284800
12106a18a80
1372416b05
1443b6bd72
1529823596
hex1ad8e500

450422016 has 216 divisors, whose sum is σ = 1363609632. Its totient is φ = 131788800.

The previous prime is 450422003. The next prime is 450422017. The reversal of 450422016 is 610224054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450422017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3438271 + ... + 3438401.

Almost surely, 2450422016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681804816).

450422016 is an abundant number, since it is smaller than the sum of its proper divisors (913187616).

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

450422016 is a wasteful number, since it uses less digits than its factorization.

450422016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 450422016 is about 21223.1481170914. The cubic root of 450422016 is about 766.5489092820.

The spelling of 450422016 in words is "four hundred fifty million, four hundred twenty-two thousand, sixteen".