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427856 = 241121317
BaseRepresentation
bin1101000011101010000
3210201220112
41220131100
5102142411
613100452
73431252
oct1503520
9721815
10427856
11272500
12187728
1311c990
14b1cd2
1586b8b
hex68750

427856 has 60 divisors (see below), whose sum is σ = 1038996. Its totient is φ = 168960.

The previous prime is 427849. The next prime is 427859. The reversal of 427856 is 658724.

427856 = T16 + T17 + ... + T136.

It can be written as a sum of positive squares in 2 ways, for example, as 193600 + 234256 = 440^2 + 484^2 .

Its product of digits (13440) is a multiple of the sum of its prime factors (60).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427856.

It is not an unprimeable number, because it can be changed into a prime (427859) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25160 + ... + 25176.

2427856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519498).

427856 is an abundant number, since it is smaller than the sum of its proper divisors (611140).

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

427856 is a wasteful number, since it uses less digits than its factorization.

427856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 43 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 427856 is about 654.1070248820. The cubic root of 427856 is about 75.3527677602.

It can be divided in two parts, 4278 and 56, that added together give a palindrome (4334).

The spelling of 427856 in words is "four hundred twenty-seven thousand, eight hundred fifty-six".