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404124761 is a prime number
BaseRepresentation
bin11000000101100…
…111010001011001
31001011102122221202
4120011213101121
51311423443021
6104033443545
713005001205
oct3005472131
91034378852
10404124761
11198132a07
12b34105b5
1365956ba1
143b959b05
152572aa0b
hex18167459

404124761 has 2 divisors, whose sum is σ = 404124762. Its totient is φ = 404124760.

The previous prime is 404124757. The next prime is 404124779. The reversal of 404124761 is 167421404.

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., 213160000 + 190964761 = 14600^2 + 13819^2 .

It is a cyclic number.

It is not a de Polignac number, because 404124761 - 22 = 404124757 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (404124781) 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, 202062380 + 202062381.

It is an arithmetic number, because the mean of its divisors is an integer number (202062381).

Almost surely, 2404124761 is an apocalyptic number.

It is an amenable number.

404124761 is a deficient number, since it is larger than the sum of its proper divisors (1).

404124761 is an equidigital number, since it uses as much as digits as its factorization.

404124761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 404124761 is about 20102.8545485461. The cubic root of 404124761 is about 739.3302687739.

The spelling of 404124761 in words is "four hundred four million, one hundred twenty-four thousand, seven hundred sixty-one".