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82149015 = 35131724781
BaseRepresentation
bin1001110010101…
…11111010010111
312201120121021010
410321113322113
5132012232030
612052423303
72015153334
oct471277227
9181517233
1082149015
1142409853
1223617b33
13140335b0
14aca598b
15732a6b0
hex4e57e97

82149015 has 32 divisors (see below), whose sum is σ = 149881536. Its totient is φ = 38062080.

The previous prime is 82148999. The next prime is 82149073. The reversal of 82149015 is 51094128.

It is a happy number.

It is not a de Polignac number, because 82149015 - 24 = 82148999 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9076 + ... + 15705.

It is an arithmetic number, because the mean of its divisors is an integer number (4683798).

Almost surely, 282149015 is an apocalyptic number.

82149015 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82149015 is a deficient number, since it is larger than the sum of its proper divisors (67732521).

82149015 is a wasteful number, since it uses less digits than its factorization.

82149015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24819.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 82149015 is about 9063.6093803738. The cubic root of 82149015 is about 434.7111571722.

The spelling of 82149015 in words is "eighty-two million, one hundred forty-nine thousand, fifteen".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 24781 74343 123905 322153 371715 421277 966459 1263831 1610765 2106385 4832295 5476601 6319155 16429803 27383005 82149015