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842424 = 233113191
BaseRepresentation
bin11001101101010111000
31120210120220
43031222320
5203424144
630020040
710106022
oct3155270
91523526
10842424
11525a20
12347620
1323659b
1417d012
15119919
hexcdab8

842424 has 32 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 255200.

The previous prime is 842423. The next prime is 842447. The reversal of 842424 is 424248.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 842394 and 842403.

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 842424.

It is not an unprimeable number, because it can be changed into a prime (842423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1332 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2842424 is an apocalyptic number.

It is an amenable number.

842424 is an abundant number, since it is smaller than the sum of its proper divisors (1455816).

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

842424 is a wasteful number, since it uses less digits than its factorization.

842424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3207 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 842424 is about 917.8365867626. The cubic root of 842424 is about 94.4445518902. Note that the first 3 decimals are identical.

It can be divided in two parts, 8424 and 24, that added together give a palindrome (8448).

The spelling of 842424 in words is "eight hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3191 6382 9573 12764 19146 25528 35101 38292 70202 76584 105303 140404 210606 280808 421212 842424