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6464064 = 263131257
BaseRepresentation
bin11000101010001001000000
3110011102000210
4120222021000
53123322224
6350314120
7105641445
oct30521100
913142023
106464064
113715602
1221b8940
1314542b9
14c039cc
1587a429
hex62a240

6464064 has 56 divisors (see below), whose sum is σ = 17300448. Its totient is φ = 2129920.

The previous prime is 6464057. The next prime is 6464083. The reversal of 6464064 is 4604646.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25024 + ... + 25280.

Almost surely, 26464064 is an apocalyptic number.

6464064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8650224).

6464064 is an abundant number, since it is smaller than the sum of its proper divisors (10836384).

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

6464064 is a wasteful number, since it uses less digits than its factorization.

6464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6464064 is about 2542.4523594357. The cubic root of 6464064 is about 186.2809950969.

The spelling of 6464064 in words is "six million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 257 262 393 514 524 771 786 1028 1048 1542 1572 2056 2096 3084 3144 4112 4192 6168 6288 8224 8384 12336 12576 16448 24672 25152 33667 49344 67334 101001 134668 202002 269336 404004 538672 808008 1077344 1616016 2154688 3232032 6464064