Search a number
-
+
64315664 = 247599733
BaseRepresentation
bin1111010101011…
…0000100010000
311111000120111122
43311112010100
5112431100124
610214301412
71410450140
oct365260420
9144016448
1064315664
1133339346
1219657868
131042b40a
148782920
1559a675e
hex3d56110

64315664 has 40 divisors (see below), whose sum is σ = 144841920. Its totient is φ = 27093888.

The previous prime is 64315663. The next prime is 64315673. The reversal of 64315664 is 46651346.

It is not an unprimeable number, because it can be changed into a prime (64315661) 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 7 ways as a sum of consecutive naturals, for example, 1742 + ... + 11474.

It is an arithmetic number, because the mean of its divisors is an integer number (3621048).

Almost surely, 264315664 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 64315664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72420960).

64315664 is an abundant number, since it is smaller than the sum of its proper divisors (80526256).

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

64315664 is a wasteful number, since it uses less digits than its factorization.

64315664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9807 (or 9801 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 64315664 is about 8019.7047327193. The cubic root of 64315664 is about 400.6565550823.

The spelling of 64315664 in words is "sixty-four million, three hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 9733 19466 38932 68131 77864 136262 155728 272524 545048 574247 1090096 1148494 2296988 4019729 4593976 8039458 9187952 16078916 32157832 64315664