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993472729 is a prime number
BaseRepresentation
bin111011001101110…
…011000011011001
32120020101122101021
4323031303003121
54013312111404
6242325322441
733422243644
oct7315630331
92506348337
10993472729
1146a875847
12238866421
1312aa931b2
1495d2ca5b
155c342454
hex3b3730d9

993472729 has 2 divisors, whose sum is σ = 993472730. Its totient is φ = 993472728.

The previous prime is 993472693. The next prime is 993472747. The reversal of 993472729 is 927274399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 963792025 + 29680704 = 31045^2 + 5448^2 .

It is an emirp because it is prime and its reverse (927274399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993472729 - 219 = 992948441 is a prime.

It is not a weakly prime, because it can be changed into another prime (993472759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496736364 + 496736365.

It is an arithmetic number, because the mean of its divisors is an integer number (496736365).

Almost surely, 2993472729 is an apocalyptic number.

It is an amenable number.

993472729 is a deficient number, since it is larger than the sum of its proper divisors (1).

993472729 is an equidigital number, since it uses as much as digits as its factorization.

993472729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1714608, while the sum is 52.

The square root of 993472729 is about 31519.4024213658. The cubic root of 993472729 is about 997.8194918400.

The spelling of 993472729 in words is "nine hundred ninety-three million, four hundred seventy-two thousand, seven hundred twenty-nine".