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427585311 = 345278831
BaseRepresentation
bin11001011111000…
…110111100011111
31002210120120210000
4121133012330133
51333430212221
6110232345343
713411262256
oct3137067437
91083516700
10427585311
111aa3a719a
12bb245253
136a77c47a
1440b0579d
1527811e26
hex197c6f1f

427585311 has 10 divisors (see below), whose sum is σ = 638738672. Its totient is φ = 285056820.

The previous prime is 427585307. The next prime is 427585313. The reversal of 427585311 is 113585724.

427585311 is a `hidden beast` number, since 42 + 7 + 585 + 31 + 1 = 666.

It is not a de Polignac number, because 427585311 - 22 = 427585307 is a prime.

It is a super-3 number, since 3×4275853113 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427585313) 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 9 ways as a sum of consecutive naturals, for example, 2639335 + ... + 2639496.

Almost surely, 2427585311 is an apocalyptic number.

427585311 is a deficient number, since it is larger than the sum of its proper divisors (211153361).

427585311 is an equidigital number, since it uses as much as digits as its factorization.

427585311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278843 (or 5278834 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 427585311 is about 20678.1360620342. The cubic root of 427585311 is about 753.3687341854.

The spelling of 427585311 in words is "four hundred twenty-seven million, five hundred eighty-five thousand, three hundred eleven".

Divisors: 1 3 9 27 81 5278831 15836493 47509479 142528437 427585311