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450272430 = 232513935993
BaseRepresentation
bin11010110101101…
…001110010101110
31011101021012122200
4122311221302232
51410232204210
6112402522330
714105152416
oct3265516256
91141235580
10450272430
11211192383
121069663a6
13723939ba
1443b2d646
15297e40c0
hex1ad69cae

450272430 has 48 divisors (see below), whose sum is σ = 1179163440. Its totient is φ = 119205504.

The previous prime is 450272423. The next prime is 450272441. The reversal of 450272430 is 34272054.

It is a super-2 number, since 2×4502724302 = 405490522436209800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 450272394 and 450272403.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5487 + ... + 30506.

It is an arithmetic number, because the mean of its divisors is an integer number (24565905).

Almost surely, 2450272430 is an apocalyptic number.

450272430 is an abundant number, since it is smaller than the sum of its proper divisors (728891010).

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

450272430 is a wasteful number, since it uses less digits than its factorization.

450272430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36145 (or 36142 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 450272430 is about 21219.6237007163. The cubic root of 450272430 is about 766.4640424409.

The spelling of 450272430 in words is "four hundred fifty million, two hundred seventy-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 12510 35993 71986 107979 179965 215958 323937 359930 539895 647874 1079790 1619685 3239370 5003027 10006054 15009081 25015135 30018162 45027243 50030270 75045405 90054486 150090810 225136215 450272430