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427290225 = 352832827
BaseRepresentation
bin11001011101111…
…110111001110001
31002210000120222220
4121131332321301
51333341241400
6110222151253
713405623045
oct3135767161
91083016886
10427290225
111aa21551a
12bb122529
136a6a806b
1440a6a025
15277a47a0
hex1977ee71

427290225 has 36 divisors (see below), whose sum is σ = 715931856. Its totient is φ = 224870240.

The previous prime is 427290211. The next prime is 427290229. The reversal of 427290225 is 522092724.

It is not a de Polignac number, because 427290225 - 24 = 427290209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (427290229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 516262 + ... + 517088.

It is an arithmetic number, because the mean of its divisors is an integer number (19886996).

Almost surely, 2427290225 is an apocalyptic number.

It is an amenable number.

427290225 is a deficient number, since it is larger than the sum of its proper divisors (288641631).

427290225 is an equidigital number, since it uses as much as digits as its factorization.

427290225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 427290225 is about 20670.9996129844. Note that the first 3 decimals coincide. The cubic root of 427290225 is about 753.1953888746.

The spelling of 427290225 in words is "four hundred twenty-seven million, two hundred ninety thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 83 249 415 827 1245 2075 2481 4135 6225 6889 12405 20667 20675 34445 62025 68641 103335 172225 205923 343205 516675 1029615 1716025 5148075 5697203 17091609 28486015 85458045 142430075 427290225