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64385856 = 2632111781
BaseRepresentation
bin1111010110011…
…1001101000000
311111011010210100
43311213031000
5112440321411
610220002400
71411161603
oct365471500
9144133710
1064385856
1133387057
1219690400
1310454352
1487a033a
1559bc456
hex3d67340

64385856 has 42 divisors (see below), whose sum is σ = 184552082. Its totient is φ = 21461760.

The previous prime is 64385843. The next prime is 64385873. The reversal of 64385856 is 65858346.

64385856 is a `hidden beast` number, since 64 + 3 + 8 + 585 + 6 = 666.

64385856 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., 64256256 + 129600 = 8016^2 + 360^2 .

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 5 ways as a sum of consecutive naturals, for example, 55315 + ... + 56466.

Almost surely, 264385856 is an apocalyptic number.

It is an amenable number.

64385856 is an abundant number, since it is smaller than the sum of its proper divisors (120166226).

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

64385856 is a wasteful number, since it uses less digits than its factorization.

64385856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111799 (or 111786 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 64385856 is about 8024.0797603214. The cubic root of 64385856 is about 400.8022565520.

Adding to 64385856 its product of digits (691200), we get a palindrome (65077056).

The spelling of 64385856 in words is "sixty-four million, three hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 111781 223562 335343 447124 670686 894248 1006029 1341372 1788496 2012058 2682744 3576992 4024116 5365488 7153984 8048232 10730976 16096464 21461952 32192928 64385856