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842628 = 223234371
BaseRepresentation
bin11001101101110000100
31120210212110
43031232010
5203431003
630021020
710106433
oct3155604
91523773
10842628
11526096
12347770
132366c7
1417d11a
15119a03
hexcdb84

842628 has 48 divisors (see below), whose sum is σ = 2128896. Its totient is φ = 258720.

The previous prime is 842627. The next prime is 842657. The reversal of 842628 is 826248.

It is a happy number.

842628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 842595 and 842604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842628.

It is not an unprimeable number, because it can be changed into a prime (842623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11833 + ... + 11903.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2842628 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 842628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448).

842628 is an abundant number, since it is smaller than the sum of its proper divisors (1286268).

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

842628 is a wasteful number, since it uses less digits than its factorization.

842628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 842628 is about 917.9477109291. The cubic root of 842628 is about 94.4521747870.

The spelling of 842628 in words is "eight hundred forty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 43 46 69 71 86 92 129 138 142 172 213 258 276 284 426 516 852 989 1633 1978 2967 3053 3266 3956 4899 5934 6106 6532 9159 9798 11868 12212 18318 19596 36636 70219 140438 210657 280876 421314 842628