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428706 = 23317467
BaseRepresentation
bin1101000101010100010
3210210002000
41220222202
5102204311
613104430
73433605
oct1505242
9723060
10428706
11273103
12188116
13120195
14b233c
1587056
hex68aa2

428706 has 32 divisors (see below), whose sum is σ = 1010880. Its totient is φ = 134208.

The previous prime is 428693. The next prime is 428731. The reversal of 428706 is 607824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 428706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (31590).

2428706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505440).

428706 is an abundant number, since it is smaller than the sum of its proper divisors (582174).

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

428706 is a wasteful number, since it uses less digits than its factorization.

428706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 428706 is about 654.7564432673. The cubic root of 428706 is about 75.4026346037.

The spelling of 428706 in words is "four hundred twenty-eight thousand, seven hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 467 918 934 1401 2802 4203 7939 8406 12609 15878 23817 25218 47634 71451 142902 214353 428706