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468360648 = 23327312967
BaseRepresentation
bin11011111010101…
…001110111001000
31012122022012000200
4123322221313020
51424400020043
6114250332200
714414666640
oct3372516710
91178265020
10468360648
11220417318
12110a2a060
1376057ba2
14462bb520
152b1b87d3
hex1bea9dc8

468360648 has 144 divisors (see below), whose sum is σ = 1499509440. Its totient is φ = 129366720.

The previous prime is 468360637. The next prime is 468360649. The reversal of 468360648 is 846063864.

It is not an unprimeable number, because it can be changed into a prime (468360649) 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 35 ways as a sum of consecutive naturals, for example, 483861 + ... + 484827.

It is an arithmetic number, because the mean of its divisors is an integer number (10413260).

Almost surely, 2468360648 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 468360648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749754720).

468360648 is an abundant number, since it is smaller than the sum of its proper divisors (1031148792).

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

468360648 is a wasteful number, since it uses less digits than its factorization.

468360648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 468360648 is about 21641.6415273888. The cubic root of 468360648 is about 776.5929900782.

The spelling of 468360648 in words is "four hundred sixty-eight million, three hundred sixty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 961 967 1116 1302 1736 1922 1934 1953 2232 2604 2883 2901 3844 3868 3906 5208 5766 5802 6727 6769 7688 7736 7812 8649 8703 11532 11604 13454 13538 15624 17298 17406 20181 20307 23064 23208 26908 27076 29977 34596 34812 40362 40614 53816 54152 59954 60543 60921 69192 69624 80724 81228 89931 119908 121086 121842 161448 162456 179862 209839 239816 242172 243684 269793 359724 419678 484344 487368 539586 629517 719448 839356 929287 1079172 1259034 1678712 1858574 1888551 2158344 2518068 2787861 3717148 3777102 5036136 5575722 6505009 7434296 7554204 8363583 11151444 13010018 15108408 16727166 19515027 22302888 26020036 33454332 39030054 52040072 58545081 66908664 78060108 117090162 156120216 234180324 468360648