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54346041 = 3253113933
BaseRepresentation
bin1100111101010…
…0000100111001
310210021001202100
43033110010321
5102403033131
65220454013
71226635161
oct317240471
9123231670
1054346041
1128749a92
121624a309
13b34a629
1473095a1
154b877e6
hex33d4139

54346041 has 12 divisors (see below), whose sum is σ = 79981668. Its totient is φ = 35546784.

The previous prime is 54346037. The next prime is 54346043. The reversal of 54346041 is 14064345.

54346041 is a `hidden beast` number, since 54 + 3 + 4 + 604 + 1 = 666.

54346041 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 2 ways, for example, as 38378025 + 15968016 = 6195^2 + 3996^2 .

It is not a de Polignac number, because 54346041 - 22 = 54346037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54345996 and 54346014.

It is not an unprimeable number, because it can be changed into a prime (54346043) 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 11 ways as a sum of consecutive naturals, for example, 56490 + ... + 57443.

It is an arithmetic number, because the mean of its divisors is an integer number (6665139).

Almost surely, 254346041 is an apocalyptic number.

It is an amenable number.

54346041 is a deficient number, since it is larger than the sum of its proper divisors (25635627).

54346041 is a wasteful number, since it uses less digits than its factorization.

54346041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113992 (or 113989 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54346041 is about 7371.9767362628. The cubic root of 54346041 is about 378.7819748844.

The spelling of 54346041 in words is "fifty-four million, three hundred forty-six thousand, forty-one".

Divisors: 1 3 9 53 159 477 113933 341799 1025397 6038449 18115347 54346041