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466322064 = 243136112251
BaseRepresentation
bin11011110010111…
…000001010010000
31012111110121121120
4123302320022100
51423334301224
6114134522240
714361446355
oct3362701220
91174417546
10466322064
1121a25473a
12110206380
13757c3020
1445d0a62c
152ae14779
hex1bcb8290

466322064 has 80 divisors (see below), whose sum is σ = 1318707264. Its totient is φ = 141120000.

The previous prime is 466322047. The next prime is 466322093. The reversal of 466322064 is 460223664.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31939 + ... + 44189.

Almost surely, 2466322064 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 466322064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659353632).

466322064 is an abundant number, since it is smaller than the sum of its proper divisors (852385200).

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

466322064 is a wasteful number, since it uses less digits than its factorization.

466322064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12336 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 466322064 is about 21594.4915198298. The cubic root of 466322064 is about 775.4646199088.

The spelling of 466322064 in words is "four hundred sixty-six million, three hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 624 732 793 976 1464 1586 2379 2928 3172 4758 6344 9516 12251 12688 19032 24502 36753 38064 49004 73506 98008 147012 159263 196016 294024 318526 477789 588048 637052 747311 955578 1274104 1494622 1911156 2241933 2548208 2989244 3822312 4483866 5978488 7644624 8967732 9715043 11956976 17935464 19430086 29145129 35870928 38860172 58290258 77720344 116580516 155440688 233161032 466322064