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450418140 = 223252986287
BaseRepresentation
bin11010110110001…
…101010111011100
31011101112121112100
4122312031113130
51410301340030
6112410005100
714106330264
oct3266152734
91141477470
10450418140
112112818a7
12106a16790
1372415113
1443b6a7a4
1529822360
hex1ad8d5dc

450418140 has 72 divisors (see below), whose sum is σ = 1413397440. Its totient is φ = 115968384.

The previous prime is 450418121. The next prime is 450418141. The reversal of 450418140 is 41814054.

It is a happy number.

450418140 is a `hidden beast` number, since 4 + 504 + 18 + 140 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450418141) 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 23 ways as a sum of consecutive naturals, for example, 37924 + ... + 48363.

It is an arithmetic number, because the mean of its divisors is an integer number (19630520).

Almost surely, 2450418140 is an apocalyptic number.

It is an amenable number.

450418140 is an abundant number, since it is smaller than the sum of its proper divisors (962979300).

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

450418140 is a wasteful number, since it uses less digits than its factorization.

450418140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86331 (or 86326 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 450418140 is about 21223.0568015072. The cubic root of 450418140 is about 766.5467104906.

The spelling of 450418140 in words is "four hundred fifty million, four hundred eighteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 86287 172574 258861 345148 431435 517722 776583 862870 1035444 1294305 1553166 1725740 2502323 2588610 3106332 3882915 5004646 5177220 7506969 7765830 10009292 12511615 15013938 15531660 22520907 25023230 30027876 37534845 45041814 50046460 75069690 90083628 112604535 150139380 225209070 450418140