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400440289 is a prime number
BaseRepresentation
bin10111110111100…
…011101111100001
31000220111110210211
4113313203233201
51310003042124
6103422454121
712631454254
oct2767435741
91026443724
10400440289
11196046797
12b2134341
1364c66b22
143b27b09b
152524de94
hex17de3be1

400440289 has 2 divisors, whose sum is σ = 400440290. Its totient is φ = 400440288.

The previous prime is 400440277. The next prime is 400440301. The reversal of 400440289 is 982044004.

It is a balanced prime because it is at equal distance from previous prime (400440277) and next prime (400440301).

It can be written as a sum of positive squares in only one way, i.e., 285779025 + 114661264 = 16905^2 + 10708^2 .

It is a cyclic number.

It is not a de Polignac number, because 400440289 - 221 = 398343137 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400440289.

It is not a weakly prime, because it can be changed into another prime (400440239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200220144 + 200220145.

It is an arithmetic number, because the mean of its divisors is an integer number (200220145).

Almost surely, 2400440289 is an apocalyptic number.

It is an amenable number.

400440289 is a deficient number, since it is larger than the sum of its proper divisors (1).

400440289 is an equidigital number, since it uses as much as digits as its factorization.

400440289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 400440289 is about 20011.0041976908. The cubic root of 400440289 is about 737.0765403564.

The spelling of 400440289 in words is "four hundred million, four hundred forty thousand, two hundred eighty-nine".