Search a number
-
+
466606812 = 223726113009
BaseRepresentation
bin11011110011111…
…101101011011100
31012112000002012210
4123303331223130
51423422404222
6114145000420
714364043500
oct3363755334
91175002183
10466606812
1121a429671
12110323110
1375892809
1445d82300
152ae6dd0c
hex1bcfdadc

466606812 has 72 divisors (see below), whose sum is σ = 1287365520. Its totient is φ = 131120640.

The previous prime is 466606783. The next prime is 466606813. The reversal of 466606812 is 218606664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466606813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29364 + ... + 42372.

Almost surely, 2466606812 is an apocalyptic number.

466606812 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466606812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643682760).

466606812 is an abundant number, since it is smaller than the sum of its proper divisors (820758708).

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

466606812 is a wasteful number, since it uses less digits than its factorization.

466606812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13091 (or 13082 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 466606812 is about 21601.0835839316. The cubic root of 466606812 is about 775.6224272036.

The spelling of 466606812 in words is "four hundred sixty-six million, six hundred six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1281 1708 2562 2989 5124 5978 8967 11956 13009 17934 26018 35868 39027 52036 78054 91063 156108 182126 273189 364252 546378 637441 793549 1092756 1274882 1587098 1912323 2380647 2549764 3174196 3824646 4761294 5554843 7649292 9522588 11109686 16664529 22219372 33329058 38883901 66658116 77767802 116651703 155535604 233303406 466606812