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422460450 = 232523725373
BaseRepresentation
bin11001001011100…
…011110000100010
31002102221012210100
4121023203300202
51331122213300
6105530443230
713316566056
oct3113436042
91072835710
10422460450
111a7516875
12b9593516
13696a68c9
144016dc66
152714d700
hex192e3c22

422460450 has 72 divisors (see below), whose sum is σ = 1165732308. Its totient is φ = 109607040.

The previous prime is 422460439. The next prime is 422460457. The reversal of 422460450 is 54064224.

422460450 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 604 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 106936281 + 315524169 = 10341^2 + 17763^2 .

It is not an unprimeable number, because it can be changed into a prime (422460457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3964 + ... + 29336.

Almost surely, 2422460450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422460450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582866154).

422460450 is an abundant number, since it is smaller than the sum of its proper divisors (743271858).

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

422460450 is a wasteful number, since it uses less digits than its factorization.

422460450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25428 (or 25420 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 422460450 is about 20553.8427064138. The cubic root of 422460450 is about 750.3467729733.

The spelling of 422460450 in words is "four hundred twenty-two million, four hundred sixty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 5550 8325 16650 25373 50746 76119 126865 152238 228357 253730 380595 456714 634325 761190 938801 1141785 1268650 1877602 1902975 2283570 2816403 3805950 4694005 5632806 5708925 8449209 9388010 11417850 14082015 16898418 23470025 28164030 42246045 46940050 70410075 84492090 140820150 211230225 422460450