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64260064 = 2511311587
BaseRepresentation
bin1111010100100…
…0011111100000
311110220202020101
43311020133200
5112422310224
610213152144
71410126061
oct365103740
9143822211
1064260064
11333005a0
121962b654
131040c00b
14876a568
155995044
hex3d487e0

64260064 has 48 divisors (see below), whose sum is σ = 138692736. Its totient is φ = 29065600.

The previous prime is 64260037. The next prime is 64260073. The reversal of 64260064 is 46006246.

64260064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 109179 + ... + 109765.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 264260064 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 64260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).

64260064 is an abundant number, since it is smaller than the sum of its proper divisors (74432672).

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

64260064 is a wasteful number, since it uses less digits than its factorization.

64260064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 64260064 is about 8016.2375214311. The cubic root of 64260064 is about 400.5410677841.

It can be divided in two parts, 642 and 60064, that added together give a palindrome (60706).

The spelling of 64260064 in words is "sixty-four million, two hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 311 352 587 622 1174 1244 2348 2488 3421 4696 4976 6457 6842 9392 9952 12914 13684 18784 25828 27368 51656 54736 103312 109472 182557 206624 365114 730228 1460456 2008127 2920912 4016254 5841824 8032508 16065016 32130032 64260064