Search a number
-
+
44116065 = 3257433257
BaseRepresentation
bin1010100001001…
…0100001100001
310002000022212100
42220102201201
542243203230
64213321013
71043660160
oct250224141
9102008770
1044116065
11229a2064
1212936169
1391a81a6
145c053d7
153d16660
hex2a12861

44116065 has 48 divisors (see below), whose sum is σ = 89451648. Its totient is φ = 19692288.

The previous prime is 44116019. The next prime is 44116067. The reversal of 44116065 is 56061144.

44116065 is a `hidden beast` number, since 44 + 11 + 606 + 5 = 666.

It is not a de Polignac number, because 44116065 - 27 = 44115937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44116067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11917 + ... + 15173.

It is an arithmetic number, because the mean of its divisors is an integer number (1863576).

Almost surely, 244116065 is an apocalyptic number.

44116065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44116065 is an abundant number, since it is smaller than the sum of its proper divisors (45335583).

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

44116065 is a wasteful number, since it uses less digits than its factorization.

44116065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 44116065 is about 6641.9925474213. The cubic root of 44116065 is about 353.3449775641.

The spelling of 44116065 in words is "forty-four million, one hundred sixteen thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1935 2709 3257 4515 9771 13545 16285 22799 29313 48855 68397 113995 140051 146565 205191 341985 420153 700255 980357 1025955 1260459 2100765 2941071 4901785 6302295 8823213 14705355 44116065