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427372093 is a prime number
BaseRepresentation
bin11001011110010…
…010111000111101
31002210011202022001
4121132102320331
51333401401333
6110224022301
713406413531
oct3136227075
91083152261
10427372093
111aa270a85
12bb161991
136a7063c5
1440a8bbc1
15277bdb7d
hex19792e3d

427372093 has 2 divisors, whose sum is σ = 427372094. Its totient is φ = 427372092.

The previous prime is 427372091. The next prime is 427372103. The reversal of 427372093 is 390273724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 400880484 + 26491609 = 20022^2 + 5147^2 .

It is a cyclic number.

It is not a de Polignac number, because 427372093 - 21 = 427372091 is a prime.

Together with 427372091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (427372091) 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, 213686046 + 213686047.

It is an arithmetic number, because the mean of its divisors is an integer number (213686047).

Almost surely, 2427372093 is an apocalyptic number.

It is an amenable number.

427372093 is a deficient number, since it is larger than the sum of its proper divisors (1).

427372093 is an equidigital number, since it uses as much as digits as its factorization.

427372093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 37.

The square root of 427372093 is about 20672.9797803800. The cubic root of 427372093 is about 753.2434894073.

The spelling of 427372093 in words is "four hundred twenty-seven million, three hundred seventy-two thousand, ninety-three".