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64381856 = 25711172953
BaseRepresentation
bin1111010110011…
…0001110100000
311111010221022012
43311212032200
5112440204411
610215532052
71411144130
oct365461640
9144127265
1064381856
1133384050
121968a028
1310452596
14879cac0
1559bb18b
hex3d663a0

64381856 has 192 divisors, whose sum is σ = 176359680. Its totient is φ = 22364160.

The previous prime is 64381829. The next prime is 64381871. The reversal of 64381856 is 65818346.

64381856 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 31 ways as a sum of consecutive naturals, for example, 1214726 + ... + 1214778.

It is an arithmetic number, because the mean of its divisors is an integer number (918540).

Almost surely, 264381856 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 64381856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179840).

64381856 is an abundant number, since it is smaller than the sum of its proper divisors (111977824).

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

64381856 is a wasteful number, since it uses less digits than its factorization.

64381856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 64381856 is about 8023.8305066844. The cubic root of 64381856 is about 400.7939563739.

The spelling of 64381856 in words is "sixty-four million, three hundred eighty-one thousand, eight hundred fifty-six".