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82148214 = 2337273137
BaseRepresentation
bin1001110010101…
…11101101110110
312201120120011110
410321113231312
5132012220324
612052415450
72015151111
oct471275566
9181516143
1082148214
1142409195
1223617586
1314033115
14aca5578
15732a329
hex4e57b76

82148214 has 48 divisors (see below), whose sum is σ = 172419408. Its totient is φ = 26085888.

The previous prime is 82148201. The next prime is 82148219. The reversal of 82148214 is 41284128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82148219) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 599554 + ... + 599690.

It is an arithmetic number, because the mean of its divisors is an integer number (3592071).

Almost surely, 282148214 is an apocalyptic number.

82148214 is an abundant number, since it is smaller than the sum of its proper divisors (90271194).

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

82148214 is a wasteful number, since it uses less digits than its factorization.

82148214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 252 counting only the distinct ones).

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

The square root of 82148214 is about 9063.5651925719. The cubic root of 82148214 is about 434.7097442732.

The spelling of 82148214 in words is "eighty-two million, one hundred forty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 37 73 74 111 137 146 219 222 274 411 438 822 1369 2701 2738 4107 5069 5402 8103 8214 10001 10138 15207 16206 20002 30003 30414 60006 99937 187553 199874 299811 370037 375106 562659 599622 740074 1110111 1125318 2220222 13691369 27382738 41074107 82148214