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64288764 = 223217731439
BaseRepresentation
bin1111010100111…
…1011111111100
311110222012121100
43311033133330
5112424220024
610213533100
71410305541
oct365173774
9143865540
1064288764
1133320111
1219644190
131041c0b7
148776bc8
15599d7c9
hex3d4f7fc

64288764 has 72 divisors (see below), whose sum is σ = 174545280. Its totient is φ = 19878912.

The previous prime is 64288753. The next prime is 64288769. The reversal of 64288764 is 46788246.

It is a Smith number, since the sum of its digits (45) 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 (64288769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43957 + ... + 45395.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 264288764 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 64288764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87272640).

64288764 is an abundant number, since it is smaller than the sum of its proper divisors (110256516).

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

64288764 is a wasteful number, since it uses less digits than its factorization.

64288764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1534 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 64288764 is about 8018.0274382170. The cubic root of 64288764 is about 400.6006891465.

The spelling of 64288764 in words is "sixty-four million, two hundred eighty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 1439 2482 2628 2878 3723 4317 4964 5756 7446 8634 11169 12951 14892 17268 22338 24463 25902 44676 48926 51804 73389 97852 105047 146778 210094 220167 293556 315141 420188 440334 630282 880668 945423 1260564 1785799 1890846 3571598 3781692 5357397 7143196 10714794 16072191 21429588 32144382 64288764