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427225273 = 3761732593
BaseRepresentation
bin11001011101101…
…111000010111001
31002202220021220021
4121131233002321
51333332202043
6110220530441
713405232506
oct3135570271
91082807807
10427225273
111aa180742
12bb0b0a21
136a684627
1440a504ad
15277903ed
hex1976f0b9

427225273 has 16 divisors (see below), whose sum is σ = 452248336. Its totient is φ = 403107840.

The previous prime is 427225259. The next prime is 427225297. The reversal of 427225273 is 372522724.

It can be written as a sum of positive squares in 8 ways, for example, as 59049 + 427166224 = 243^2 + 20668^2 .

It is a cyclic number.

It is not a de Polignac number, because 427225273 - 29 = 427224761 is a prime.

It is a super-3 number, since 3×4272252733 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (427225243) 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 in 15 ways as a sum of consecutive naturals, for example, 163465 + ... + 166057.

It is an arithmetic number, because the mean of its divisors is an integer number (28265521).

Almost surely, 2427225273 is an apocalyptic number.

It is an amenable number.

427225273 is a deficient number, since it is larger than the sum of its proper divisors (25023063).

427225273 is a wasteful number, since it uses less digits than its factorization.

427225273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764.

The product of its digits is 47040, while the sum is 34.

The square root of 427225273 is about 20669.4284633127. The cubic root of 427225273 is about 753.1572227577.

Adding to 427225273 its reverse (372522724), we get a palindrome (799747997).

The spelling of 427225273 in words is "four hundred twenty-seven million, two hundred twenty-five thousand, two hundred seventy-three".

Divisors: 1 37 61 73 2257 2593 2701 4453 95941 158173 164761 189289 5852401 7003693 11546629 427225273