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41116309 = 138935537
BaseRepresentation
bin1001110011011…
…0001010010101
32212100220222021
42130312022111
541011210214
64025133141
71006324423
oct234661225
985326867
1041116309
1121233323
121192a1b1
1386979a0
145664113
153922924
hex2736295

41116309 has 8 divisors (see below), whose sum is σ = 44777880. Its totient is φ = 37526016.

The previous prime is 41116307. The next prime is 41116331. The reversal of 41116309 is 90361114.

41116309 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 1703025 + 39413284 = 1305^2 + 6278^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 41116309 - 21 = 41116307 is a prime.

It is a super-3 number, since 3×411163093 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41116307) 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, 16612 + ... + 18925.

It is an arithmetic number, because the mean of its divisors is an integer number (5597235).

Almost surely, 241116309 is an apocalyptic number.

It is an amenable number.

41116309 is a deficient number, since it is larger than the sum of its proper divisors (3661571).

41116309 is a wasteful number, since it uses less digits than its factorization.

41116309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35639.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 41116309 is about 6412.2000124762. The cubic root of 41116309 is about 345.1474801796.

The spelling of 41116309 in words is "forty-one million, one hundred sixteen thousand, three hundred nine".

Divisors: 1 13 89 1157 35537 461981 3162793 41116309