Search a number
-
+
64315452 = 22323317517
BaseRepresentation
bin1111010101011…
…0000000111100
311111000120012210
43311112000330
5112431043302
610214300420
71410446415
oct365260074
9144016183
1064315452
1133339173
1219657710
131042b2a6
14878280c
1559a666c
hex3d5603c

64315452 has 48 divisors (see below), whose sum is σ = 161667072. Its totient is φ = 19842240.

The previous prime is 64315451. The next prime is 64315457. The reversal of 64315452 is 25451346.

64315452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64315451) 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 15 ways as a sum of consecutive naturals, for example, 4798 + ... + 12314.

It is an arithmetic number, because the mean of its divisors is an integer number (3368064).

Almost surely, 264315452 is an apocalyptic number.

64315452 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64315452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80833536).

64315452 is an abundant number, since it is smaller than the sum of its proper divisors (97351620).

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

64315452 is a wasteful number, since it uses less digits than its factorization.

64315452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7576 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 64315452 is about 8019.6915152642. The cubic root of 64315452 is about 400.6561148615.

Adding to 64315452 its reverse (25451346), we get a palindrome (89766798).

The spelling of 64315452 in words is "sixty-four million, three hundred fifteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 4278 7517 8556 15034 22551 30068 45102 90204 172891 233027 345782 466054 518673 691564 699081 932108 1037346 1398162 2074692 2796324 5359621 10719242 16078863 21438484 32157726 64315452