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466080664 = 23710517919
BaseRepresentation
bin11011110001111…
…101001110011000
31012111000100110211
4123301331032120
51423304040124
6114125420504
714356422520
oct3361751630
91174010424
10466080664
1121a0aa335
1211010a734
137573a19a
1445c86680
152adb7e94
hex1bc7d398

466080664 has 32 divisors (see below), whose sum is σ = 999820800. Its totient is φ = 199533600.

The previous prime is 466080647. The next prime is 466080673.

466080664 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 54897 + ... + 62815.

It is an arithmetic number, because the mean of its divisors is an integer number (31244400).

Almost surely, 2466080664 is an apocalyptic number.

It is an amenable number.

466080664 is an abundant number, since it is smaller than the sum of its proper divisors (533740136).

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

466080664 is a wasteful number, since it uses less digits than its factorization.

466080664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 466080664 is about 21588.9014078994. The cubic root of 466080664 is about 775.3307857449.

The spelling of 466080664 in words is "four hundred sixty-six million, eighty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 1051 2102 4204 7357 7919 8408 14714 15838 29428 31676 55433 58856 63352 110866 221732 443464 8322869 16645738 33291476 58260083 66582952 116520166 233040332 466080664