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38724401 is a prime number
BaseRepresentation
bin1001001110111…
…0001100110001
32200212101220002
42103232030301
534403140101
63501555345
7650103062
oct223561461
980771802
1038724401
111a94a241
1210b75b55
13803b061
145200569
1535edd6b
hex24ee331

38724401 has 2 divisors, whose sum is σ = 38724402. Its totient is φ = 38724400.

The previous prime is 38724391. The next prime is 38724421. The reversal of 38724401 is 10442783.

38724401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37503376 + 1221025 = 6124^2 + 1105^2 .

It is a cyclic number.

It is not a de Polignac number, because 38724401 - 218 = 38462257 is a prime.

It is a Sophie Germain prime.

It is a pancake number, because a pancake can be divided into 38724401 parts by 8800 straight cuts.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (38724421) 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, 19362200 + 19362201.

It is an arithmetic number, because the mean of its divisors is an integer number (19362201).

Almost surely, 238724401 is an apocalyptic number.

It is an amenable number.

38724401 is a deficient number, since it is larger than the sum of its proper divisors (1).

38724401 is an equidigital number, since it uses as much as digits as its factorization.

38724401 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 38724401 is about 6222.8932981371. The cubic root of 38724401 is about 338.3204394341.

The spelling of 38724401 in words is "thirty-eight million, seven hundred twenty-four thousand, four hundred one".