Search a number
-
+
64741664 = 2513198191
BaseRepresentation
bin1111011011111…
…0000100100000
311111211012212102
43312332010200
5113033213124
610231345532
71414203131
oct366760440
9144735772
1064741664
11335aa409
12198222a8
131054a2a0
148853c88
155a3caae
hex3dbe120

64741664 has 48 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 28304640.

The previous prime is 64741643. The next prime is 64741667. The reversal of 64741664 is 46614746.

64741664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64741667) 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 7 ways as a sum of consecutive naturals, for example, 3809 + ... + 11999.

It is an arithmetic number, because the mean of its divisors is an integer number (3010560).

Almost surely, 264741664 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 64741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

64741664 is an abundant number, since it is smaller than the sum of its proper divisors (79765216).

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

64741664 is a wasteful number, since it uses less digits than its factorization.

64741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8225 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 64741664 is about 8046.2204792064. The cubic root of 64741664 is about 401.5392028726.

The spelling of 64741664 in words is "sixty-four million, seven hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 8191 16382 32764 65528 106483 131056 155629 212966 262112 311258 425932 622516 851864 1245032 1703728 2023177 2490064 3407456 4046354 4980128 8092708 16185416 32370832 64741664