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422520450 = 2352111631571
BaseRepresentation
bin11001001011110…
…010011010000010
31002110001021002120
4121023302122002
51331131123300
6105532025110
713320236022
oct3113623202
91073037076
10422520450
111a7557960
12b9602196
13696c8001
1440187a82
15271613a0
hex192f2682

422520450 has 96 divisors (see below), whose sum is σ = 1150854912. Its totient is φ = 101736000.

The previous prime is 422520443. The next prime is 422520481. The reversal of 422520450 is 54025224.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 422520450.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 268165 + ... + 269735.

It is an arithmetic number, because the mean of its divisors is an integer number (11988072).

Almost surely, 2422520450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422520450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575427456).

422520450 is an abundant number, since it is smaller than the sum of its proper divisors (728334462).

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

422520450 is a wasteful number, since it uses less digits than its factorization.

422520450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 422520450 is about 20555.3022356763. The cubic root of 422520450 is about 750.3822939909.

Adding to 422520450 its reverse (54025224), we get a palindrome (476545674).

The spelling of 422520450 in words is "four hundred twenty-two million, five hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 163 165 275 326 330 489 550 815 825 978 1571 1630 1650 1793 2445 3142 3586 4075 4713 4890 5379 7855 8150 8965 9426 10758 12225 15710 17281 17930 23565 24450 26895 34562 39275 44825 47130 51843 53790 78550 86405 89650 103686 117825 134475 172810 235650 256073 259215 268950 432025 512146 518430 768219 864050 1280365 1296075 1536438 2560730 2592150 2816803 3841095 5633606 6401825 7682190 8450409 12803650 14084015 16900818 19205475 28168030 38410950 42252045 70420075 84504090 140840150 211260225 422520450