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40777241 is a prime number
BaseRepresentation
bin1001101110001…
…1011000011001
32211201200212012
42123203120121
540414332431
64013555305
71003413041
oct233433031
984650765
1040777241
11210215aa
12117a5b35
1385a955b
1455b6721
1538a722b
hex26e3619

40777241 has 2 divisors, whose sum is σ = 40777242. Its totient is φ = 40777240.

The previous prime is 40777223. The next prime is 40777259. The reversal of 40777241 is 14277704.

40777241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (40777223) and next prime (40777259).

It can be written as a sum of positive squares in only one way, i.e., 31753225 + 9024016 = 5635^2 + 3004^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40777241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40777198 and 40777207.

It is not a weakly prime, because it can be changed into another prime (40777291) 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 as a sum of consecutive naturals, namely, 20388620 + 20388621.

It is an arithmetic number, because the mean of its divisors is an integer number (20388621).

Almost surely, 240777241 is an apocalyptic number.

It is an amenable number.

40777241 is a deficient number, since it is larger than the sum of its proper divisors (1).

40777241 is an equidigital number, since it uses as much as digits as its factorization.

40777241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 40777241 is about 6385.7059907265. The cubic root of 40777241 is about 344.1961006693.

The spelling of 40777241 in words is "forty million, seven hundred seventy-seven thousand, two hundred forty-one".