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83424 = 2531179
BaseRepresentation
bin10100010111100000
311020102210
4110113200
510132144
61442120
7465135
oct242740
9136383
1083424
1157750
1240340
132bc83
142258c
1519ab9
hex145e0

83424 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 24960.

The previous prime is 83423. The next prime is 83431. The reversal of 83424 is 42438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 83424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1017 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

283424 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 83424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

83424 is an abundant number, since it is smaller than the sum of its proper divisors (158496).

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

83424 is a wasteful number, since it uses less digits than its factorization.

83424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 83424 is about 288.8321311766. The cubic root of 83424 is about 43.6948584211.

It can be divided in two parts, 834 and 24, that added together give a palindrome (858).

The spelling of 83424 in words is "eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 79 88 96 132 158 176 237 264 316 352 474 528 632 869 948 1056 1264 1738 1896 2528 2607 3476 3792 5214 6952 7584 10428 13904 20856 27808 41712 83424