Search a number
-
+
64076417 = 1719253197
BaseRepresentation
bin1111010001101…
…1101010000001
311110120102022122
43310123222001
5112400421132
610205214025
71405432466
oct364335201
9143512278
1064076417
1133195619
1219561315
1310376552
14871d66d
15595a912
hex3d1ba81

64076417 has 24 divisors (see below), whose sum is σ = 73325736. Its totient is φ = 55770624.

The previous prime is 64076401. The next prime is 64076429. The reversal of 64076417 is 71467046.

It is a happy number.

64076417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43970161 + 20106256 = 6631^2 + 4484^2 .

It is not a de Polignac number, because 64076417 - 24 = 64076401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64076437) 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 23 ways as a sum of consecutive naturals, for example, 325163 + ... + 325359.

It is an arithmetic number, because the mean of its divisors is an integer number (3055239).

Almost surely, 264076417 is an apocalyptic number.

It is an amenable number.

64076417 is a deficient number, since it is larger than the sum of its proper divisors (9249319).

64076417 is a wasteful number, since it uses less digits than its factorization.

64076417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 64076417 is about 8004.7746376772. The cubic root of 64076417 is about 400.1591387621.

The spelling of 64076417 in words is "sixty-four million, seventy-six thousand, four hundred seventeen".

Divisors: 1 17 19 53 197 323 361 901 1007 3349 3743 6137 10441 17119 19133 63631 71117 177497 198379 325261 1208989 3372443 3769201 64076417