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47032873 is a prime number
BaseRepresentation
bin1011001101101…
…0101000101001
310021111111222021
42303122220221
544020022443
64400024441
71110526036
oct263325051
9107444867
1047032873
1124604548
1213902121
139989a04
14636438d
1541e09ed
hex2cdaa29

47032873 has 2 divisors, whose sum is σ = 47032874. Its totient is φ = 47032872.

The previous prime is 47032871. The next prime is 47032879. The reversal of 47032873 is 37823074.

47032873 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., 45859984 + 1172889 = 6772^2 + 1083^2 .

It is a cyclic number.

It is not a de Polignac number, because 47032873 - 21 = 47032871 is a prime.

It is a super-2 number, since 2×470328732 = 4424182285268258, which contains 22 as substring.

Together with 47032871, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (47032871) 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, 23516436 + 23516437.

It is an arithmetic number, because the mean of its divisors is an integer number (23516437).

Almost surely, 247032873 is an apocalyptic number.

It is an amenable number.

47032873 is a deficient number, since it is larger than the sum of its proper divisors (1).

47032873 is an equidigital number, since it uses as much as digits as its factorization.

47032873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 47032873 is about 6858.0516912604. The cubic root of 47032873 is about 360.9667252424.

The spelling of 47032873 in words is "forty-seven million, thirty-two thousand, eight hundred seventy-three".