Search a number
-
+
64264500 = 22325314281
BaseRepresentation
bin1111010100100…
…1100100110100
311110220222022200
43311021210310
5112422431000
610213224500
71410145026
oct365114464
9143828280
1064264500
1133303963
1219632130
1310411041
14876c016
155996500
hex3d49934

64264500 has 72 divisors (see below), whose sum is σ = 202747272. Its totient is φ = 17136000.

The previous prime is 64264423. The next prime is 64264531. The reversal of 64264500 is 546246.

It is a happy number.

64264500 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 20466576 + 43797924 = 4524^2 + 6618^2 .

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 23 ways as a sum of consecutive naturals, for example, 2641 + ... + 11640.

Almost surely, 264264500 is an apocalyptic number.

64264500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64264500 is an abundant number, since it is smaller than the sum of its proper divisors (138482772).

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

64264500 is a wasteful number, since it uses less digits than its factorization.

64264500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14306 (or 14291 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64264500 is about 8016.5142050644. The cubic root of 64264500 is about 400.5502842875.

The spelling of 64264500 in words is "sixty-four million, two hundred sixty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 14281 28562 42843 57124 71405 85686 128529 142810 171372 214215 257058 285620 357025 428430 514116 642645 714050 856860 1071075 1285290 1428100 1785125 2142150 2570580 3213225 3570250 4284300 5355375 6426450 7140500 10710750 12852900 16066125 21421500 32132250 64264500