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4854100041 = 34737231379
BaseRepresentation
bin1001000010101001…
…11011000001001001
3110112021211211110000
410201110323001021
534420122200131
62121400113213
7231201112110
oct44124730111
913467754400
104854100041
11207101622a
12b35765809
135c4866c5b
14340962c77
151d6236ce6
hex12153b049

4854100041 has 40 divisors (see below), whose sum is σ = 8511081920. Its totient is φ = 2698792992.

The previous prime is 4854100007. The next prime is 4854100061. The reversal of 4854100041 is 1400014584.

It is a happy number.

It is not a de Polignac number, because 4854100041 - 210 = 4854099017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4854099978 and 4854100014.

It is not an unprimeable number, because it can be changed into a prime (4854100061) 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 39 ways as a sum of consecutive naturals, for example, 94711 + ... + 136668.

It is an arithmetic number, because the mean of its divisors is an integer number (212777048).

Almost surely, 24854100041 is an apocalyptic number.

It is an amenable number.

4854100041 is a deficient number, since it is larger than the sum of its proper divisors (3656981879).

4854100041 is a wasteful number, since it uses less digits than its factorization.

4854100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231435 (or 231426 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4854100041 is about 69671.3717462201. The cubic root of 4854100041 is about 1693.1791331941.

The spelling of 4854100041 in words is "four billion, eight hundred fifty-four million, one hundred thousand, forty-one".

Divisors: 1 3 7 9 21 27 37 63 81 111 189 259 333 567 777 999 2331 2997 6993 20979 231379 694137 1619653 2082411 4858959 6247233 8561023 14576877 18741699 25683069 43730631 59927161 77049207 131191893 179781483 231147621 539344449 693442863 1618033347 4854100041