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428562 = 23229821
BaseRepresentation
bin1101000101000010010
3210202212200
41220220102
5102203222
613104030
73433311
oct1505022
9722780
10428562
11272a92
12188016
131200b4
14b2278
1586eac
hex68a12

428562 has 24 divisors (see below), whose sum is σ = 961740. Its totient is φ = 137760.

The previous prime is 428557. The next prime is 428563. The reversal of 428562 is 265824.

It can be written as a sum of positive squares in 2 ways, for example, as 423801 + 4761 = 651^2 + 69^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (428563) by changing a digit.

428562 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112 + ... + 932.

2428562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480870).

428562 is an abundant number, since it is smaller than the sum of its proper divisors (533178).

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

428562 is a wasteful number, since it uses less digits than its factorization.

428562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 855 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 428562 is about 654.6464694780. The cubic root of 428562 is about 75.3941912141.

It can be divided in two parts, 428 and 562, that added together give a triangular number (990 = T44).

The spelling of 428562 in words is "four hundred twenty-eight thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 821 1642 2463 4926 7389 14778 23809 47618 71427 142854 214281 428562