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427373217 = 321741193353
BaseRepresentation
bin11001011110010…
…011001010100001
31002210011210211200
4121132103022201
51333401420332
6110224031413
713406420025
oct3136231241
91083153750
10427373217
111aa271907
12bb162569
136a706a7b
1440a8c385
15277be17c
hex197932a1

427373217 has 48 divisors (see below), whose sum is σ = 674947728. Its totient is φ = 259522560.

The previous prime is 427373131. The next prime is 427373237. The reversal of 427373217 is 712373724.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41486481 + 385886736 = 6441^2 + 19644^2 .

It is not a de Polignac number, because 427373217 - 210 = 427372193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (427373237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1210513 + ... + 1210865.

It is an arithmetic number, because the mean of its divisors is an integer number (14061411).

Almost surely, 2427373217 is an apocalyptic number.

It is an amenable number.

427373217 is a deficient number, since it is larger than the sum of its proper divisors (247574511).

427373217 is a wasteful number, since it uses less digits than its factorization.

427373217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 607 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 427373217 is about 20673.0069656061. The cubic root of 427373217 is about 753.2441497569.

It can be divided in two parts, 42737 and 3217, that added together give a palindrome (45954).

The spelling of 427373217 in words is "four hundred twenty-seven million, three hundred seventy-three thousand, two hundred seventeen".

Divisors: 1 3 9 17 41 51 123 153 193 353 369 579 697 1059 1737 2091 3177 3281 6001 6273 7913 9843 14473 18003 23739 29529 43419 54009 68129 71217 130257 134521 204387 246041 403563 613161 738123 1158193 1210689 2214369 2793289 3474579 8379867 10423737 25139601 47485913 142457739 427373217