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459280668 = 223711273619
BaseRepresentation
bin11011011000000…
…001000100011100
31012000012212122010
4123120001010130
51420033440133
6113323551220
714244551460
oct3330010434
91160185563
10459280668
11216285400
1210998b510
13741c9012
1444dd64a0
152a4c3263
hex1b60111c

459280668 has 144 divisors (see below), whose sum is σ = 1366856960. Its totient is φ = 117469440.

The previous prime is 459280649. The next prime is 459280691. The reversal of 459280668 is 866082954.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741663 + ... + 742281.

Almost surely, 2459280668 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 459280668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683428480).

459280668 is an abundant number, since it is smaller than the sum of its proper divisors (907576292).

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

459280668 is a wasteful number, since it uses less digits than its factorization.

459280668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 459280668 is about 21430.8345147827. The cubic root of 459280668 is about 771.5416731485.

The spelling of 459280668 in words is "four hundred fifty-nine million, two hundred eighty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 73 77 84 121 132 146 154 219 231 242 292 308 363 438 462 484 511 619 726 803 847 876 924 1022 1238 1452 1533 1606 1694 1857 2044 2409 2476 2541 3066 3212 3388 3714 4333 4818 5082 5621 6132 6809 7428 8666 8833 9636 10164 11242 12999 13618 16863 17332 17666 20427 22484 25998 26499 27236 33726 35332 40854 45187 47663 51996 52998 61831 67452 74899 81708 90374 95326 105996 123662 135561 142989 149798 180748 185493 190652 224697 247324 271122 285978 299596 316309 370986 449394 497057 524293 542244 571956 632618 741972 898788 948927 994114 1048586 1265236 1491171 1572879 1897854 1988228 2097172 2982342 3145758 3479399 3795708 5467627 5964684 6291516 6958798 10438197 10935254 13917596 16402881 20876394 21870508 32805762 38273389 41752788 65611524 76546778 114820167 153093556 229640334 459280668