Search a number
-
+
529368064 = 2107192
BaseRepresentation
bin11111100011011…
…000010000000000
31100220002200110121
4133203120100000
52041004234224
6124310110024
716055361061
oct3743302000
91326080417
10529368064
112518a6075
1212934b314
1385898554
145043c568
1531719be4
hex1f8d8400

529368064 has 33 divisors (see below), whose sum is σ = 1059693007. Its totient is φ = 264315904.

The previous prime is 529368061. The next prime is 529368067. The reversal of 529368064 is 460863925.

The square root of 529368064 is 23008.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (529368061) and next prime (529368067).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 529368064.

It is not an unprimeable number, because it can be changed into a prime (529368061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 735897 + ... + 736615.

Almost surely, 2529368064 is an apocalyptic number.

529368064 is the 23008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 529368064

529368064 is an abundant number, since it is smaller than the sum of its proper divisors (530324943).

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

529368064 is an frugal number, since it uses more digits than its factorization.

529368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The cubic root of 529368064 is about 808.9454671119.

The spelling of 529368064 in words is "five hundred twenty-nine million, three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 719 1024 1438 2876 5752 11504 23008 46016 92032 184064 368128 516961 736256 1033922 2067844 4135688 8271376 16542752 33085504 66171008 132342016 264684032 529368064