Search a number
-
+
41688009 = 3211238281
BaseRepresentation
bin1001111100000…
…1101111001001
32220102222012100
42133001233021
541133004014
64045304013
71014225246
oct237015711
986388170
1041688009
1121593900
1211b65009
138837c7c
1457725cd
1539d7009
hex27c1bc9

41688009 has 18 divisors (see below), whose sum is σ = 66189578. Its totient is φ = 25264800.

The previous prime is 41688001. The next prime is 41688019. The reversal of 41688009 is 90088614.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41409225 + 278784 = 6435^2 + 528^2 .

It is not a de Polignac number, because 41688009 - 23 = 41688001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41688001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18052 + ... + 20229.

Almost surely, 241688009 is an apocalyptic number.

It is an amenable number.

41688009 is a deficient number, since it is larger than the sum of its proper divisors (24501569).

41688009 is a wasteful number, since it uses less digits than its factorization.

41688009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38309 (or 38295 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 41688009 is about 6456.6252020696. The cubic root of 41688009 is about 346.7398188616.

The spelling of 41688009 in words is "forty-one million, six hundred eighty-eight thousand, nine".

Divisors: 1 3 9 11 33 99 121 363 1089 38281 114843 344529 421091 1263273 3789819 4632001 13896003 41688009