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450542064 = 24372223859
BaseRepresentation
bin11010110110101…
…011100111110000
31011101202220112010
4122312223213300
51410314321224
6112412402520
714110354500
oct3266534760
91141686463
10450542064
11211356a15
12106a76440
137245964b
1443b9da00
1529848e29
hex1adab9f0

450542064 has 120 divisors (see below), whose sum is σ = 1361579520. Its totient is φ = 127999872.

The previous prime is 450542063. The next prime is 450542077. The reversal of 450542064 is 460245054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450542063) 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, 524067 + ... + 524925.

It is an arithmetic number, because the mean of its divisors is an integer number (11346496).

Almost surely, 2450542064 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 450542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680789760).

450542064 is an abundant number, since it is smaller than the sum of its proper divisors (911037456).

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

450542064 is a wasteful number, since it uses less digits than its factorization.

450542064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 450542064 is about 21225.9761612982. The cubic root of 450542064 is about 766.6170043025.

The spelling of 450542064 in words is "four hundred fifty million, five hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 223 294 336 392 446 588 669 784 859 892 1176 1338 1561 1718 1784 2352 2577 2676 3122 3436 3568 4683 5154 5352 6013 6244 6872 9366 10308 10704 10927 12026 12488 13744 18039 18732 20616 21854 24052 24976 32781 36078 37464 41232 42091 43708 48104 65562 72156 74928 84182 87416 96208 126273 131124 144312 168364 174832 191557 252546 262248 288624 336728 383114 505092 524496 574671 673456 766228 1010184 1149342 1340899 1532456 2020368 2298684 2681798 3064912 4022697 4597368 5363596 8045394 9194736 9386293 10727192 16090788 18772586 21454384 28158879 32181576 37545172 56317758 64363152 75090344 112635516 150180688 225271032 450542064