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40800427 is a prime number
BaseRepresentation
bin1001101110100…
…1000010101011
32211202212122221
42123221002223
540421103202
64014254511
71003540453
oct233510253
984685587
1040800427
1121037a68
12117b7437
1385b6c85
1455c0d63
1538ae037
hex26e90ab

40800427 has 2 divisors, whose sum is σ = 40800428. Its totient is φ = 40800426.

The previous prime is 40800341. The next prime is 40800443. The reversal of 40800427 is 72400804.

40800427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40800427 is a prime.

It is a super-3 number, since 3×408004273 (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (40800457) 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, 20400213 + 20400214.

It is an arithmetic number, because the mean of its divisors is an integer number (20400214).

Almost surely, 240800427 is an apocalyptic number.

40800427 is a deficient number, since it is larger than the sum of its proper divisors (1).

40800427 is an equidigital number, since it uses as much as digits as its factorization.

40800427 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 40800427 is about 6387.5211937026. The cubic root of 40800427 is about 344.2613251139.

The spelling of 40800427 in words is "forty million, eight hundred thousand, four hundred twenty-seven".