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82190732 = 221319412029
BaseRepresentation
bin1001110011000…
…10000110001100
312201122201111012
410321202012030
5132020100412
612053344352
72015416061
oct471420614
9181581435
1082190732
1142438128
12236380b8
1314049590
14acb6c68
157337c22
hex4e6218c

82190732 has 48 divisors (see below), whose sum is σ = 167109600. Its totient is φ = 35043840.

The previous prime is 82190711. The next prime is 82190737. The reversal of 82190732 is 23709128.

It is not an unprimeable number, because it can be changed into a prime (82190737) 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 15 ways as a sum of consecutive naturals, for example, 39494 + ... + 41522.

It is an arithmetic number, because the mean of its divisors is an integer number (3481450).

Almost surely, 282190732 is an apocalyptic number.

82190732 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

82190732 is an abundant number, since it is smaller than the sum of its proper divisors (84918868).

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

82190732 is a wasteful number, since it uses less digits than its factorization.

82190732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 82190732 is about 9065.9104341484. The cubic root of 82190732 is about 434.7847298801.

The spelling of 82190732 in words is "eighty-two million, one hundred ninety thousand, seven hundred thirty-two".

Divisors: 1 2 4 13 19 26 38 41 52 76 82 164 247 494 533 779 988 1066 1558 2029 2132 3116 4058 8116 10127 20254 26377 38551 40508 52754 77102 83189 105508 154204 166378 332756 501163 1002326 1081457 1580591 2004652 2162914 3161182 4325828 6322364 20547683 41095366 82190732