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400211249 is a prime number
BaseRepresentation
bin10111110110101…
…011110100110001
31000220001211121212
4113312223310301
51304423224444
6103413525505
712626511434
oct2766536461
91026054555
10400211249
111959aa6a9
12b2043895
1364bb67b9
143b21b81b
152520619e
hex17dabd31

400211249 has 2 divisors, whose sum is σ = 400211250. Its totient is φ = 400211248.

The previous prime is 400211237. The next prime is 400211261. The reversal of 400211249 is 942112004.

It is a balanced prime because it is at equal distance from previous prime (400211237) and next prime (400211261).

It can be written as a sum of positive squares in only one way, i.e., 343435024 + 56776225 = 18532^2 + 7535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400211249 is a prime.

It is a super-2 number, since 2×4002112492 = 320338087652280002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (400211299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200105624 + 200105625.

It is an arithmetic number, because the mean of its divisors is an integer number (200105625).

Almost surely, 2400211249 is an apocalyptic number.

It is an amenable number.

400211249 is a deficient number, since it is larger than the sum of its proper divisors (1).

400211249 is an equidigital number, since it uses as much as digits as its factorization.

400211249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 400211249 is about 20005.2805279006. The cubic root of 400211249 is about 736.9359848959.

It can be divided in two parts, 4002 and 11249, that added together give a palindrome (15251).

The spelling of 400211249 in words is "four hundred million, two hundred eleven thousand, two hundred forty-nine".