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64138064 = 244008629
BaseRepresentation
bin1111010010101…
…0101101010000
311110200112212212
43310222231100
5112404404224
610210411252
71406110304
oct364525520
9143615785
1064138064
1133227971
1219590b28
1310398623
148737d04
15596dd0e
hex3d2ab50

64138064 has 10 divisors (see below), whose sum is σ = 124267530. Its totient is φ = 32069024.

The previous prime is 64138051. The next prime is 64138079. The reversal of 64138064 is 46083146.

64138064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 64128064 + 10000 = 8008^2 + 100^2 .

It is a super-2 number, since 2×641380642 = 8227382507336192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64138064.

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 as a sum of consecutive naturals, namely, 2004299 + ... + 2004330.

It is an arithmetic number, because the mean of its divisors is an integer number (12426753).

Almost surely, 264138064 is an apocalyptic number.

It is an amenable number.

64138064 is a deficient number, since it is larger than the sum of its proper divisors (60129466).

64138064 is a wasteful number, since it uses less digits than its factorization.

64138064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008637 (or 4008631 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 64138064 is about 8008.6243512853. The cubic root of 64138064 is about 400.2874267485.

The spelling of 64138064 in words is "sixty-four million, one hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 4008629 8017258 16034516 32069032 64138064