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450323616 = 25353671321
BaseRepresentation
bin11010110101110…
…110010010100000
31011101100210212110
4122311312102200
51410240323431
6112403555320
714105454561
oct3265662240
91141323773
10450323616
11211217886
1210698bb40
13723b10a2
1443b44168
1529804346
hex1ad764a0

450323616 has 96 divisors (see below), whose sum is σ = 1223304768. Its totient is φ = 144967680.

The previous prime is 450323611. The next prime is 450323711. The reversal of 450323616 is 616323054.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (450323611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340236 + ... + 341556.

It is an arithmetic number, because the mean of its divisors is an integer number (12742758).

Almost surely, 2450323616 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 450323616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611652384).

450323616 is an abundant number, since it is smaller than the sum of its proper divisors (772981152).

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

450323616 is a wasteful number, since it uses less digits than its factorization.

450323616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 450323616 is about 21220.8297670002. The cubic root of 450323616 is about 766.4930846676.

The spelling of 450323616 in words is "four hundred fifty million, three hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 67 96 106 134 159 201 212 268 318 402 424 536 636 804 848 1072 1272 1321 1608 1696 2144 2544 2642 3216 3551 3963 5088 5284 6432 7102 7926 10568 10653 14204 15852 21136 21306 28408 31704 42272 42612 56816 63408 70013 85224 88507 113632 126816 140026 170448 177014 210039 265521 280052 340896 354028 420078 531042 560104 708056 840156 1062084 1120208 1416112 1680312 2124168 2240416 2832224 3360624 4248336 4690871 6721248 8496672 9381742 14072613 18763484 28145226 37526968 56290452 75053936 112580904 150107872 225161808 450323616