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82037214 = 23273717597
BaseRepresentation
bin1001110001111…
…00100111011110
312201100220220100
410320330213132
5132000142324
612050201530
72014206360
oct470744736
9181326810
1082037214
1142342856
12235832a6
1313cc473c
14ac76d30
1573074c9
hex4e3c9de

82037214 has 48 divisors (see below), whose sum is σ = 208641888. Its totient is φ = 22804416.

The previous prime is 82037213. The next prime is 82037237. The reversal of 82037214 is 41273028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82037213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4137 + ... + 13460.

It is an arithmetic number, because the mean of its divisors is an integer number (4346706).

Almost surely, 282037214 is an apocalyptic number.

82037214 is an abundant number, since it is smaller than the sum of its proper divisors (126604674).

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

82037214 is a wasteful number, since it uses less digits than its factorization.

82037214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17649 (or 17646 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82037214 is about 9057.4397044639. The cubic root of 82037214 is about 434.5138603990.

The spelling of 82037214 in words is "eighty-two million, thirty-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 17597 35194 52791 105582 123179 158373 246358 316746 369537 651089 739074 1108611 1302178 1953267 2217222 3906534 4557623 5859801 9115246 11719602 13672869 27345738 41018607 82037214