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41312461 = 3741113241
BaseRepresentation
bin1001110110011…
…0000011001101
32212201220001011
42131212003031
541033444321
64033245221
71011102331
oct235460315
985656034
1041312461
1121357733
1211a03811
138736058
1456b57c1
153960ae1
hex27660cd

41312461 has 16 divisors (see below), whose sum is σ = 44030448. Its totient is φ = 38707200.

The previous prime is 41312459. The next prime is 41312471. The reversal of 41312461 is 16421314.

41312461 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 8 ways, for example, as 2499561 + 38812900 = 1581^2 + 6230^2 .

It is a 7-Lehmer number, since φ(41312461) divides (41312461-1)7.

It is a cyclic number.

It is not a de Polignac number, because 41312461 - 21 = 41312459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41312471) 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 15 ways as a sum of consecutive naturals, for example, 171301 + ... + 171541.

It is an arithmetic number, because the mean of its divisors is an integer number (2751903).

Almost surely, 241312461 is an apocalyptic number.

41312461 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41312461 is a deficient number, since it is larger than the sum of its proper divisors (2717987).

41312461 is a wasteful number, since it uses less digits than its factorization.

41312461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432.

The product of its digits is 576, while the sum is 22.

The square root of 41312461 is about 6427.4770322421. The cubic root of 41312461 is about 345.6954702959.

Adding to 41312461 its reverse (16421314), we get a palindrome (57733775).

The spelling of 41312461 in words is "forty-one million, three hundred twelve thousand, four hundred sixty-one".

Divisors: 1 37 41 113 241 1517 4181 4633 8917 9881 27233 171421 365597 1007621 1116553 41312461