Search a number
-
+
466530966 = 2321117231263
BaseRepresentation
bin11011110011101…
…011001010010110
31012111212020011200
4123303223022112
51423412442331
6114143213330
714363306406
oct3363531226
91174766150
10466530966
1121a387690
121102a7246
1375867135
1445d62806
152ae565e6
hex1bceb296

466530966 has 144 divisors (see below), whose sum is σ = 1213774848. Its totient is φ = 128275200.

The previous prime is 466530947. The next prime is 466530971. The reversal of 466530966 is 669035664.

It is a super-2 number, since 2×4665309662 = 435302284473786312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1773751 + ... + 1774013.

It is an arithmetic number, because the mean of its divisors is an integer number (8428992).

Almost surely, 2466530966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466530966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606887424).

466530966 is an abundant number, since it is smaller than the sum of its proper divisors (747243882).

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

466530966 is a wasteful number, since it uses less digits than its factorization.

466530966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 466530966 is about 21599.3279062104. The cubic root of 466530966 is about 775.5803996372.

The spelling of 466530966 in words is "four hundred sixty-six million, five hundred thirty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 31 33 34 51 62 66 93 99 102 153 186 187 198 263 279 289 306 341 374 526 527 558 561 578 682 789 867 1023 1054 1122 1578 1581 1683 1734 2046 2367 2601 2893 3069 3162 3179 3366 4471 4734 4743 5202 5786 5797 6138 6358 8153 8679 8942 8959 9486 9537 11594 13413 16306 17358 17391 17918 19074 24459 26037 26826 26877 28611 34782 40239 48918 49181 52074 52173 53754 57222 73377 76007 80478 80631 89683 98362 98549 104346 138601 146754 147543 152014 161262 179366 197098 228021 269049 277202 295086 295647 415803 442629 456042 538098 591294 684063 807147 831606 836077 885258 886941 1247409 1368126 1524611 1614294 1672154 1773882 2356217 2494818 2508231 3049222 4573833 4712434 5016462 7068651 7524693 9147666 13721499 14137302 15049386 21205953 25918387 27442998 42411906 51836774 77755161 155510322 233265483 466530966