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450474738 = 237217193467
BaseRepresentation
bin11010110110011…
…011001011110010
31011101122111011120
4122312123023302
51410310142423
6112411123110
714106654300
oct3266331362
91141574146
10450474738
1121131037a
12106a43496
1372434acc
1443b83270
1529833ee3
hex1ad9b2f2

450474738 has 96 divisors (see below), whose sum is σ = 1117831104. Its totient is φ = 120250368.

The previous prime is 450474737. The next prime is 450474767. The reversal of 450474738 is 837474054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 450474738.

It is not an unprimeable number, because it can be changed into a prime (450474737) 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, 964381 + ... + 964847.

It is an arithmetic number, because the mean of its divisors is an integer number (11644074).

Almost surely, 2450474738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450474738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558915552).

450474738 is an abundant number, since it is smaller than the sum of its proper divisors (667356366).

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

450474738 is a wasteful number, since it uses less digits than its factorization.

450474738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 450474738 is about 21224.3901679177. The cubic root of 450474738 is about 766.5788163569.

The spelling of 450474738 in words is "four hundred fifty million, four hundred seventy-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 193 238 294 357 386 467 579 714 833 934 1158 1351 1401 1666 2499 2702 2802 3269 3281 4053 4998 6538 6562 7939 8106 9457 9807 9843 15878 18914 19614 19686 22883 22967 23817 28371 45766 45934 47634 55573 56742 68649 68901 90131 111146 137298 137802 160769 166719 180262 270393 321538 333438 389011 482307 540786 630917 778022 964614 1167033 1261834 1532227 1892751 2334066 3064454 3785502 4416419 4596681 8832838 9193362 10725589 13249257 21451178 26498514 32176767 64353534 75079123 150158246 225237369 450474738