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450458064 = 24337148961
BaseRepresentation
bin11010110110010…
…111000111010000
31011101121122022000
4122312113013100
51410304124224
6112410514000
714106554550
oct3266270720
91141548260
10450458064
112112a98a1
12106a35900
137242a344
1443b7b160
152982e0c9
hex1ad971d0

450458064 has 80 divisors (see below), whose sum is σ = 1477703040. Its totient is φ = 128701440.

The previous prime is 450458051. The next prime is 450458089. The reversal of 450458064 is 460854054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71457 + ... + 77504.

It is an arithmetic number, because the mean of its divisors is an integer number (18471288).

Almost surely, 2450458064 is an apocalyptic number.

It is an amenable number.

450458064 is an abundant number, since it is smaller than the sum of its proper divisors (1027244976).

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

450458064 is a wasteful number, since it uses less digits than its factorization.

450458064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148985 (or 148973 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 450458064 is about 21223.9973614774. The cubic root of 450458064 is about 766.5693581181.

The spelling of 450458064 in words is "four hundred fifty million, four hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 148961 297922 446883 595844 893766 1042727 1191688 1340649 1787532 2085454 2383376 2681298 3128181 3575064 4021947 4170908 5362596 6256362 7150128 8043894 8341816 9384543 10725192 12512724 16087788 16683632 18769086 21450384 25025448 28153629 32175576 37538172 50050896 56307258 64351152 75076344 112614516 150152688 225229032 450458064