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47801993 is a prime number
BaseRepresentation
bin1011011001011…
…0011010001001
310022221121000012
42312112122021
544214130433
64424321305
71120211261
oct266263211
9108847005
1047801993
1124a8a388
1214013235
139b98b05
1464c47a1
1542e3848
hex2d96689

47801993 has 2 divisors, whose sum is σ = 47801994. Its totient is φ = 47801992.

The previous prime is 47801983. The next prime is 47802017. The reversal of 47801993 is 39910874.

It is a happy number.

47801993 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., 25030009 + 22771984 = 5003^2 + 4772^2 .

It is a cyclic number.

It is not a de Polignac number, because 47801993 - 214 = 47785609 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 47801993.

It is not a weakly prime, because it can be changed into another prime (47801953) 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, 23900996 + 23900997.

It is an arithmetic number, because the mean of its divisors is an integer number (23900997).

Almost surely, 247801993 is an apocalyptic number.

It is an amenable number.

47801993 is a deficient number, since it is larger than the sum of its proper divisors (1).

47801993 is an equidigital number, since it uses as much as digits as its factorization.

47801993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 47801993 is about 6913.8985384514. The cubic root of 47801993 is about 362.9237040105.

The spelling of 47801993 in words is "forty-seven million, eight hundred one thousand, nine hundred ninety-three".