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82118424 = 23313672503
BaseRepresentation
bin1001110010100…
…00011100011000
312201112001022010
410321100130120
5132010242144
612052025520
72014665213
oct471203430
9181461263
1082118424
1142398873
12236022a0
13140226ab
14ac9877a
1573215b9
hex4e50718

82118424 has 32 divisors (see below), whose sum is σ = 205528320. Its totient is φ = 27341856.

The previous prime is 82118423. The next prime is 82118461. The reversal of 82118424 is 42481128.

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 = 82118391 and 82118400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82118423) 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, 31557 + ... + 34059.

It is an arithmetic number, because the mean of its divisors is an integer number (6422760).

Almost surely, 282118424 is an apocalyptic number.

It is an amenable number.

82118424 is an abundant number, since it is smaller than the sum of its proper divisors (123409896).

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

82118424 is a wasteful number, since it uses less digits than its factorization.

82118424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3875 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 82118424 is about 9061.9216505110. The cubic root of 82118424 is about 434.6571906089.

The spelling of 82118424 in words is "eighty-two million, one hundred eighteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 1367 2503 2734 4101 5006 5468 7509 8202 10012 10936 15018 16404 20024 30036 32808 60072 3421601 6843202 10264803 13686404 20529606 27372808 41059212 82118424