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82636949 = 172733917
BaseRepresentation
bin1001110110011…
…11000010010101
312202111101120202
410323033002111
5132123340244
612111110245
72022255023
oct473170225
9182441522
1082636949
11427123aa
1223812385
1314174705
14ad91713
1573c504e
hex4ecf095

82636949 has 12 divisors (see below), whose sum is σ = 89009124. Its totient is φ = 76690944.

The previous prime is 82636943. The next prime is 82636973. The reversal of 82636949 is 94963628.

It can be written as a sum of positive squares in 6 ways, for example, as 18748900 + 63888049 = 4330^2 + 7993^2 .

It is a de Polignac number, because none of the positive numbers 2k-82636949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82636943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19139 + ... + 23055.

It is an arithmetic number, because the mean of its divisors is an integer number (7417427).

Almost surely, 282636949 is an apocalyptic number.

It is an amenable number.

82636949 is a deficient number, since it is larger than the sum of its proper divisors (6372175).

82636949 is a wasteful number, since it uses less digits than its factorization.

82636949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4007 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The square root of 82636949 is about 9090.4867306432. The cubic root of 82636949 is about 435.5701318958.

The spelling of 82636949 in words is "eighty-two million, six hundred thirty-six thousand, nine hundred forty-nine".

Divisors: 1 17 73 289 1241 3917 21097 66589 285941 1132013 4860997 82636949