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450013050 = 233523110753
BaseRepresentation
bin11010110100101…
…010011101111010
31011100210000212000
4122310222131322
51410200404200
6112353201430
714103022254
oct3264523572
91140700760
10450013050
11211025513
12106860276
1372302916
1443aa2cd4
1529792300
hex1ad2a77a

450013050 has 96 divisors (see below), whose sum is σ = 1280156160. Its totient is φ = 116121600.

The previous prime is 450013049. The next prime is 450013051. The reversal of 450013050 is 50310054.

It is an interprime number because it is at equal distance from previous prime (450013049) and next prime (450013051).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (450013051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36474 + ... + 47226.

It is an arithmetic number, because the mean of its divisors is an integer number (13334960).

Almost surely, 2450013050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450013050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640078080).

450013050 is an abundant number, since it is smaller than the sum of its proper divisors (830143110).

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

450013050 is a wasteful number, since it uses less digits than its factorization.

450013050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10805 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 450013050 is about 21213.5110248162. The cubic root of 450013050 is about 766.3168399798.

The spelling of 450013050 in words is "four hundred fifty million, thirteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 135 150 155 186 225 270 279 310 450 465 558 675 775 837 930 1350 1395 1550 1674 2325 2790 4185 4650 6975 8370 10753 13950 20925 21506 32259 41850 53765 64518 96777 107530 161295 193554 268825 290331 322590 333343 483885 537650 580662 666686 806475 967770 1000029 1451655 1612950 1666715 2000058 2419425 2903310 3000087 3333430 4838850 5000145 6000174 7258275 8333575 9000261 10000290 14516550 15000435 16667150 18000522 25000725 30000870 45001305 50001450 75002175 90002610 150004350 225006525 450013050