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466786968 = 233374112821
BaseRepresentation
bin11011110100101…
…001101010011000
31012112100020100020
4123310221222120
51423444140333
6114152510440
714365423644
oct3364515230
91175306306
10466786968
1121a541a5a
121103ab420
137592680b
1445dcbc24
152aea73b3
hex1bd29a98

466786968 has 64 divisors (see below), whose sum is σ = 1227834720. Its totient is φ = 147686400.

The previous prime is 466786967. The next prime is 466786979. The reversal of 466786968 is 869687664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466786961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29998 + ... + 42818.

Almost surely, 2466786968 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 466786968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613917360).

466786968 is an abundant number, since it is smaller than the sum of its proper divisors (761047752).

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

466786968 is a wasteful number, since it uses less digits than its factorization.

466786968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12908 (or 12904 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The square root of 466786968 is about 21605.2532500779. The cubic root of 466786968 is about 775.7222364725.

The spelling of 466786968 in words is "four hundred sixty-six million, seven hundred eighty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 148 164 222 246 296 328 444 492 888 984 1517 3034 4551 6068 9102 12136 12821 18204 25642 36408 38463 51284 76926 102568 153852 307704 474377 525661 948754 1051322 1423131 1576983 1897508 2102644 2846262 3153966 3795016 4205288 5692524 6307932 11385048 12615864 19449457 38898914 58348371 77797828 116696742 155595656 233393484 466786968