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450537568 = 251310110723
BaseRepresentation
bin11010110110101…
…010100001100000
31011101202200100121
4122312222201200
51410314200233
6112412330024
714110335415
oct3266524140
91141680317
10450537568
112113535a8
12106a73914
13724575a0
1443b9c10c
152984792d
hex1adaa860

450537568 has 48 divisors (see below), whose sum is σ = 964773936. Its totient is φ = 205862400.

The previous prime is 450537559. The next prime is 450537583. The reversal of 450537568 is 865735054.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36655 + ... + 47377.

It is an arithmetic number, because the mean of its divisors is an integer number (20099457).

Almost surely, 2450537568 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 450537568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482386968).

450537568 is an abundant number, since it is smaller than the sum of its proper divisors (514236368).

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

450537568 is a wasteful number, since it uses less digits than its factorization.

450537568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847 (or 10839 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The square root of 450537568 is about 21225.8702530662. The cubic root of 450537568 is about 766.6144542472.

The spelling of 450537568 in words is "four hundred fifty million, five hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2626 3232 5252 10504 10723 21008 21446 42016 42892 85784 139399 171568 278798 343136 557596 1083023 1115192 2166046 2230384 4332092 4460768 8664184 14079299 17328368 28158598 34656736 56317196 112634392 225268784 450537568