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428022 = 23274379
BaseRepresentation
bin1101000011111110110
3210202010200
41220133312
5102144042
613101330
73431610
oct1503766
9722120
10428022
11272641
12187846
1311ca8a
14b1db0
1586c4c
hex687f6

428022 has 48 divisors (see below), whose sum is σ = 1098240. Its totient is φ = 117936.

The previous prime is 428003. The next prime is 428023. The reversal of 428022 is 220824.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 427986 and 428004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428023) by changing a digit.

428022 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 23 ways as a sum of consecutive naturals, for example, 5379 + ... + 5457.

It is an arithmetic number, because the mean of its divisors is an integer number (22880).

2428022 is an apocalyptic number.

428022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 428022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549120).

428022 is an abundant number, since it is smaller than the sum of its proper divisors (670218).

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

428022 is a wasteful number, since it uses less digits than its factorization.

428022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 428022 is about 654.2339031264. The cubic root of 428022 is about 75.3625116477.

Adding to 428022 its reverse (220824), we get a palindrome (648846).

The spelling of 428022 in words is "four hundred twenty-eight thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 79 86 126 129 158 237 258 301 387 474 553 602 711 774 903 1106 1422 1659 1806 2709 3318 3397 4977 5418 6794 9954 10191 20382 23779 30573 47558 61146 71337 142674 214011 428022