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427406607 = 32167284369
BaseRepresentation
bin11001011110011…
…011010100001111
31002210020111122100
4121132123110033
51333404002412
6110224450143
713406616255
oct3136332417
91083214570
10427406607
111aa294a01
12bb179953
136a719024
1440a9a5d5
15277c8edc
hex1979b50f

427406607 has 12 divisors (see below), whose sum is σ = 621064080. Its totient is φ = 283230528.

The previous prime is 427406597. The next prime is 427406657. The reversal of 427406607 is 706604724.

427406607 is a `hidden beast` number, since 4 + 2 + 7 + 40 + 6 + 607 = 666.

It is not a de Polignac number, because 427406607 - 26 = 427406543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427406657) 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 11 ways as a sum of consecutive naturals, for example, 140682 + ... + 143687.

It is an arithmetic number, because the mean of its divisors is an integer number (51755340).

Almost surely, 2427406607 is an apocalyptic number.

427406607 is a deficient number, since it is larger than the sum of its proper divisors (193657473).

427406607 is a wasteful number, since it uses less digits than its factorization.

427406607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284542 (or 284539 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 427406607 is about 20673.8145246590. The cubic root of 427406607 is about 753.2637658412.

The spelling of 427406607 in words is "four hundred twenty-seven million, four hundred six thousand, six hundred seven".

Divisors: 1 3 9 167 501 1503 284369 853107 2559321 47489623 142468869 427406607