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450220050 = 232527473041
BaseRepresentation
bin11010110101011…
…101000000010010
31011101011112210200
4122311131000102
51410224020200
6112401440030
714104543620
oct3265350022
91141145720
10450220050
11211156a95
12106940016
1372375bc7
1443b18510
15297d3800
hex1ad5d012

450220050 has 144 divisors (see below), whose sum is σ = 1412266752. Its totient is φ = 100684800.

The previous prime is 450220021. The next prime is 450220051. The reversal of 450220050 is 50022054.

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 (450220051) 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 71 ways as a sum of consecutive naturals, for example, 146530 + ... + 149570.

It is an arithmetic number, because the mean of its divisors is an integer number (9807408).

Almost surely, 2450220050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450220050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706133376).

450220050 is an abundant number, since it is smaller than the sum of its proper divisors (962046702).

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

450220050 is a wasteful number, since it uses less digits than its factorization.

450220050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 450220050 is about 21218.3894299261. The cubic root of 450220050 is about 766.4343204765.

The spelling of 450220050 in words is "four hundred fifty million, two hundred twenty thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 47 50 63 70 75 90 94 105 126 141 150 175 210 225 235 282 315 329 350 423 450 470 525 630 658 705 846 987 1050 1175 1410 1575 1645 1974 2115 2350 2961 3041 3150 3290 3525 4230 4935 5922 6082 7050 8225 9123 9870 10575 14805 15205 16450 18246 21150 21287 24675 27369 29610 30410 42574 45615 49350 54738 63861 74025 76025 91230 106435 127722 136845 142927 148050 152050 191583 212870 228075 273690 285854 319305 383166 428781 456150 532175 638610 684225 714635 857562 957915 1000489 1064350 1286343 1368450 1429270 1596525 1915830 2000978 2143905 2572686 3001467 3193050 3573175 4287810 4789575 5002445 6002934 6431715 7146350 9004401 9579150 10004890 10719525 12863430 15007335 18008802 21439050 25012225 30014670 32158575 45022005 50024450 64317150 75036675 90044010 150073350 225110025 450220050