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513812064 = 2535352209
BaseRepresentation
bin11110101000000…
…010011001100000
31022210211100122110
4132220002121200
52023013441224
6122552435320
715506221233
oct3650023140
91283740573
10513812064
11244040677
121240a8b40
13825acb0c
144c34d41a
1530195929
hex1ea02660

513812064 has 24 divisors (see below), whose sum is σ = 1348756920. Its totient is φ = 171270656.

The previous prime is 513812027. The next prime is 513812069. The reversal of 513812064 is 460218315.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×5138120642 = 528005674223880192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513812069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2676009 + ... + 2676200.

It is an arithmetic number, because the mean of its divisors is an integer number (56198205).

Almost surely, 2513812064 is an apocalyptic number.

It is an amenable number.

513812064 is an abundant number, since it is smaller than the sum of its proper divisors (834944856).

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

513812064 is a wasteful number, since it uses less digits than its factorization.

513812064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352222 (or 5352214 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 513812064 is about 22667.4229677747. The cubic root of 513812064 is about 800.9426721087.

The spelling of 513812064 in words is "five hundred thirteen million, eight hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5352209 10704418 16056627 21408836 32113254 42817672 64226508 85635344 128453016 171270688 256906032 513812064