Search a number
-
+
64516305 = 3571973443
BaseRepresentation
bin1111011000011…
…1000011010001
311111101202201210
43312013003101
5113004010210
610222450333
71412244120
oct366070321
9144352653
1064516305
1133466067
12197339a9
131049b839
1487d5ab7
1559e5e20
hex3d870d1

64516305 has 64 divisors (see below), whose sum is σ = 126167040. Its totient is φ = 27495936.

The previous prime is 64516303. The next prime is 64516327. The reversal of 64516305 is 50361546.

64516305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64516305 - 21 = 64516303 is a prime.

It is a super-2 number, since 2×645163052 = 8324707221706050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64516303) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 145414 + ... + 145856.

It is an arithmetic number, because the mean of its divisors is an integer number (1971360).

Almost surely, 264516305 is an apocalyptic number.

It is an amenable number.

64516305 is a deficient number, since it is larger than the sum of its proper divisors (61650735).

64516305 is a wasteful number, since it uses less digits than its factorization.

64516305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 64516305 is about 8032.2042429211. The cubic root of 64516305 is about 401.0727558320.

The spelling of 64516305 in words is "sixty-four million, five hundred sixteen thousand, three hundred five".

Divisors: 1 3 5 7 15 19 21 35 57 73 95 105 133 219 285 365 399 443 511 665 1095 1329 1387 1533 1995 2215 2555 3101 4161 6645 6935 7665 8417 9303 9709 15505 20805 25251 29127 32339 42085 46515 48545 58919 97017 126255 145635 161695 176757 226373 294595 485085 614441 679119 883785 1131865 1843323 3072205 3395595 4301087 9216615 12903261 21505435 64516305