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400415089 is a prime number
BaseRepresentation
bin10111110111011…
…101100101110001
31000220110012020111
4113313131211301
51310001240324
6103422141321
712631320634
oct2767354561
91026405214
10400415089
11196029868
12b2121841
1364c58509
143b271c1b
1525246794
hex17ddd971

400415089 has 2 divisors, whose sum is σ = 400415090. Its totient is φ = 400415088.

The previous prime is 400415087. The next prime is 400415117. The reversal of 400415089 is 980514004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 364810000 + 35605089 = 19100^2 + 5967^2 .

It is a cyclic number.

It is not a de Polignac number, because 400415089 - 21 = 400415087 is a prime.

Together with 400415087, it forms a pair of twin primes.

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 400415089.

It is not a weakly prime, because it can be changed into another prime (400415083) 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, 200207544 + 200207545.

It is an arithmetic number, because the mean of its divisors is an integer number (200207545).

Almost surely, 2400415089 is an apocalyptic number.

It is an amenable number.

400415089 is a deficient number, since it is larger than the sum of its proper divisors (1).

400415089 is an equidigital number, since it uses as much as digits as its factorization.

400415089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 400415089 is about 20010.3745342260. The cubic root of 400415089 is about 737.0610784436.

The spelling of 400415089 in words is "four hundred million, four hundred fifteen thousand, eighty-nine".