Search a number
-
+
64529300 = 22521125333
BaseRepresentation
bin1111011000101…
…0001110010100
311111102102120002
43312022032110
5113004414200
610223030432
71412330033
oct366121624
9144372502
1064529300
1133474900
121973b418
13104a4724
1487da71a
1559e9bd5
hex3d8a394

64529300 has 54 divisors (see below), whose sum is σ = 153944574. Its totient is φ = 23460800.

The previous prime is 64529293. The next prime is 64529317. The reversal of 64529300 is 392546.

64529300 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 3 ways, for example, as 21548164 + 42981136 = 4642^2 + 6556^2 .

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 17 ways as a sum of consecutive naturals, for example, 9434 + ... + 14766.

Almost surely, 264529300 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 64529300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76972287).

64529300 is an abundant number, since it is smaller than the sum of its proper divisors (89415274).

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

64529300 is a wasteful number, since it uses less digits than its factorization.

64529300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 64529300 is about 8033.0131333143. The cubic root of 64529300 is about 401.0996823099.

The spelling of 64529300 in words is "sixty-four million, five hundred twenty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 5333 6050 10666 12100 21332 26665 53330 58663 106660 117326 133325 234652 266650 293315 533300 586630 645293 1173260 1290586 1466575 2581172 2933150 3226465 5866300 6452930 12905860 16132325 32264650 64529300