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414160249 is a prime number
BaseRepresentation
bin11000101011111…
…001010101111001
31001212022112001111
4120223321111321
51322011111444
6105032520321
713156206166
oct3053712571
91055275044
10414160249
111a28677a8
12b68500a1
1367a5b949
143d00d06d
152655e234
hex18af9579

414160249 has 2 divisors, whose sum is σ = 414160250. Its totient is φ = 414160248.

The previous prime is 414160237. The next prime is 414160261. The reversal of 414160249 is 942061414.

It is a balanced prime because it is at equal distance from previous prime (414160237) and next prime (414160261).

It can be written as a sum of positive squares in only one way, i.e., 381499024 + 32661225 = 19532^2 + 5715^2 .

It is a cyclic number.

It is not a de Polignac number, because 414160249 - 27 = 414160121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414160249.

It is not a weakly prime, because it can be changed into another prime (414760249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207080124 + 207080125.

It is an arithmetic number, because the mean of its divisors is an integer number (207080125).

Almost surely, 2414160249 is an apocalyptic number.

It is an amenable number.

414160249 is a deficient number, since it is larger than the sum of its proper divisors (1).

414160249 is an equidigital number, since it uses as much as digits as its factorization.

414160249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 414160249 is about 20350.9274727222. The cubic root of 414160249 is about 745.4001417848.

The spelling of 414160249 in words is "four hundred fourteen million, one hundred sixty thousand, two hundred forty-nine".