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464080064 = 2671035893
BaseRepresentation
bin11011101010010…
…100110011000000
31012100020201011112
4123222110303000
51422301030224
6114014502452
714333421050
oct3352246300
91170221145
10464080064
11218a63248
1210b504a28
13751b96b6
14458c5560
152ab2030e
hex1ba94cc0

464080064 has 28 divisors (see below), whose sum is σ = 1052468304. Its totient is φ = 198891264.

The previous prime is 464080061. The next prime is 464080091. The reversal of 464080064 is 460080464.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 464080064.

It is not an unprimeable number, because it can be changed into a prime (464080061) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 517499 + ... + 518394.

Almost surely, 2464080064 is an apocalyptic number.

It is an amenable number.

464080064 is an abundant number, since it is smaller than the sum of its proper divisors (588388240).

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

464080064 is a wasteful number, since it uses less digits than its factorization.

464080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035912 (or 1035902 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 464080064 is about 21542.5175873202. The cubic root of 464080064 is about 774.2198539939.

The spelling of 464080064 in words is "four hundred sixty-four million, eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1035893 2071786 4143572 7251251 8287144 14502502 16574288 29005004 33148576 58010008 66297152 116020016 232040032 464080064