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479112064 = 2713128573
BaseRepresentation
bin11100100011101…
…010101110000000
31020101112102012021
4130203222232000
51440123041224
6115313011224
714605246114
oct3443525600
91211472167
10479112064
1122649aa92
12114553b14
1378350782
14478b9744
152c0de1e4
hex1c8eab80

479112064 has 32 divisors (see below), whose sum is σ = 961800840. Its totient is φ = 237719040.

The previous prime is 479112059. The next prime is 479112079. The reversal of 479112064 is 460211974.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2482 + ... + 31054.

Almost surely, 2479112064 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 479112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480900420).

479112064 is an abundant number, since it is smaller than the sum of its proper divisors (482688776).

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

479112064 is a wasteful number, since it uses less digits than its factorization.

479112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28718 (or 28706 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 479112064 is about 21888.6286459431. The cubic root of 479112064 is about 782.4904313460.

The spelling of 479112064 in words is "four hundred seventy-nine million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 4192 8384 16768 28573 57146 114292 228584 457168 914336 1828672 3657344 3743063 7486126 14972252 29944504 59889008 119778016 239556032 479112064