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82434124 = 22297110009
BaseRepresentation
bin1001110100111…
…01100001001100
312202010002100201
410322131201030
5132100342444
612102503244
72020451503
oct472354114
9182102321
1082434124
1142593a83
1223734b24
13141032b6
14ad3b83a
157384dd4
hex4e9d84c

82434124 has 24 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 39231360.

The previous prime is 82434083. The next prime is 82434127. The reversal of 82434124 is 42143428.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82434092 and 82434101.

It is not an unprimeable number, because it can be changed into a prime (82434127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3232 + ... + 13240.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 282434124 is an apocalyptic number.

It is an amenable number.

82434124 is a deficient number, since it is larger than the sum of its proper divisors (68917076).

82434124 is a wasteful number, since it uses less digits than its factorization.

82434124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113 (or 10111 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 82434124 is about 9079.3239836455. The cubic root of 82434124 is about 435.2134839730.

The spelling of 82434124 in words is "eighty-two million, four hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 29 58 71 116 142 284 2059 4118 8236 10009 20018 40036 290261 580522 710639 1161044 1421278 2842556 20608531 41217062 82434124