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64646464 = 2673101137
BaseRepresentation
bin1111011010011…
…0110101000000
311111122101021111
43312212311000
5113022141324
610225333104
71413325441
oct366466500
9144571244
1064646464
1133544933
1219797194
1310515b5c
14882b2c8
155a1e794
hex3da6d40

64646464 has 56 divisors (see below), whose sum is σ = 132286248. Its totient is φ = 31334400.

The previous prime is 64646453. The next prime is 64646473. The reversal of 64646464 is 46464646.

It is a happy number.

64646464 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 4 ways, for example, as 30913600 + 33732864 = 5560^2 + 5808^2 .

64646464 is an undulating number in base 10.

64646464 is a modest number, since divided by 646464 gives 64 as remainder.

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 an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471804 + ... + 471940.

Almost surely, 264646464 is an apocalyptic number.

64646464 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 64646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66143124).

64646464 is an abundant number, since it is smaller than the sum of its proper divisors (67639784).

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

64646464 is a wasteful number, since it uses less digits than its factorization.

64646464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The square root of 64646464 is about 8040.3024818722. The cubic root of 64646464 is about 401.3422906014.

The spelling of 64646464 in words is "sixty-four million, six hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 73 101 137 146 202 274 292 404 548 584 808 1096 1168 1616 2192 2336 3232 4384 4672 6464 7373 8768 10001 13837 14746 20002 27674 29492 40004 55348 58984 80008 110696 117968 160016 221392 235936 320032 442784 471872 640064 885568 1010101 2020202 4040404 8080808 16161616 32323232 64646464