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450004816 = 24197120849
BaseRepresentation
bin11010110100101…
…000011101010000
31011100202121120001
4122310220131100
51410200123231
6112353055344
714102656252
oct3264503520
91140677501
10450004816
1121101a308
12106857554
13722cbc51
1443a9dcd2
152978eb61
hex1ad28750

450004816 has 40 divisors (see below), whose sum is σ = 930744000. Its totient is φ = 210147840.

The previous prime is 450004811. The next prime is 450004817. The reversal of 450004816 is 618400054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450004811) 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 7 ways as a sum of consecutive naturals, for example, 11160 + ... + 32008.

It is an arithmetic number, because the mean of its divisors is an integer number (23268600).

Almost surely, 2450004816 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 450004816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465372000).

450004816 is an abundant number, since it is smaller than the sum of its proper divisors (480739184).

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

450004816 is a wasteful number, since it uses less digits than its factorization.

450004816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20947 (or 20941 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 450004816 is about 21213.3169495013. The cubic root of 450004816 is about 766.3121661217.

The spelling of 450004816 in words is "four hundred fifty million, four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 284 304 568 1136 1349 2698 5396 10792 20849 21584 41698 83396 166792 333584 396131 792262 1480279 1584524 2960558 3169048 5921116 6338096 11842232 23684464 28125301 56250602 112501204 225002408 450004816