Search a number
-
+
64741729 = 1317734013
BaseRepresentation
bin1111011011111…
…0000101100001
311111211012221211
43312332011201
5113033213404
610231350121
71414203253
oct366760541
9144735854
1064741729
11335aa468
1219822341
131054a320
148853cd3
155a3cb04
hex3dbe161

64741729 has 16 divisors (see below), whose sum is σ = 74853072. Its totient is φ = 55461888.

The previous prime is 64741687. The next prime is 64741751. The reversal of 64741729 is 92714746.

It can be written as a sum of positive squares in 8 ways, for example, as 1904400 + 62837329 = 1380^2 + 7927^2 .

It is not a de Polignac number, because 64741729 - 29 = 64741217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 64741691 and 64741700.

It is not an unprimeable number, because it can be changed into a prime (64741799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14127 + ... + 18139.

It is an arithmetic number, because the mean of its divisors is an integer number (4678317).

Almost surely, 264741729 is an apocalyptic number.

It is an amenable number.

64741729 is a deficient number, since it is larger than the sum of its proper divisors (10111343).

64741729 is a wasteful number, since it uses less digits than its factorization.

64741729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116.

The product of its digits is 84672, while the sum is 40.

The square root of 64741729 is about 8046.2245183688. The cubic root of 64741729 is about 401.5393372530.

It can be divided in two parts, 6474 and 1729, that multiplied together give a triangular number (11193546 = T4731).

The spelling of 64741729 in words is "sixty-four million, seven hundred forty-one thousand, seven hundred twenty-nine".

Divisors: 1 13 17 73 221 949 1241 4013 16133 52169 68221 292949 886873 3808337 4980133 64741729