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427716 = 22321092
BaseRepresentation
bin1101000011011000100
3210201201100
41220123010
5102141331
613100100
73430662
oct1503304
9721640
10427716
11272393
12187630
1311c8b3
14b1c32
1586ae6
hex686c4

427716 has 27 divisors (see below), whose sum is σ = 1091181. Its totient is φ = 141264.

The previous prime is 427711. The next prime is 427717. The reversal of 427716 is 617724.

The square root of 427716 is 654.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 129600 = 546^2 + 360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 427716.

It is not an unprimeable number, because it can be changed into a prime (427711) by changing a digit.

427716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3870 + ... + 3978.

427716 is a Friedman number, since it can be written as (647+7)^(2*1), using all its digits and the basic arithmetic operations.

2427716 is an apocalyptic number.

427716 is the 654-th square number.

It is an amenable number.

427716 is an abundant number, since it is smaller than the sum of its proper divisors (663465).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427716 is a wasteful number, since it uses less digits than its factorization.

427716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The cubic root of 427716 is about 75.3445480646.

The spelling of 427716 in words is "four hundred twenty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 11881 23762 35643 47524 71286 106929 142572 213858 427716