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64046064 = 24310911223
BaseRepresentation
bin1111010001010…
…0001111110000
311110111212200110
43310110033300
5112343433224
610204421320
71405245135
oct364241760
9143455613
1064046064
1133174835
1219547840
13103657a4
14871258c
155951929
hex3d143f0

64046064 has 40 divisors (see below), whose sum is σ = 165739392. Its totient is φ = 21311680.

The previous prime is 64046063. The next prime is 64046083. The reversal of 64046064 is 46064046.

64046064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64046063) by changing a digit.

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, 51757 + ... + 52979.

Almost surely, 264046064 is an apocalyptic number.

It is an amenable number.

64046064 is an abundant number, since it is smaller than the sum of its proper divisors (101693328).

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

64046064 is a wasteful number, since it uses less digits than its factorization.

64046064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2319 counting only the distinct ones).

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

The square root of 64046064 is about 8002.8784821463. The cubic root of 64046064 is about 400.0959436519.

The spelling of 64046064 in words is "sixty-four million, forty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 1091 1223 2182 2446 3273 3669 4364 4892 6546 7338 8728 9784 13092 14676 17456 19568 26184 29352 52368 58704 1334293 2668586 4002879 5337172 8005758 10674344 16011516 21348688 32023032 64046064