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82348371 = 32722947137
BaseRepresentation
bin1001110100010…
…00100101010011
312201221201201200
410322020211103
5132040121441
612101002243
72016643500
oct472104523
9181851650
1082348371
1142535606
12236b3383
13140a3261
14ad184a7
1573697b6
hex4e88953

82348371 has 72 divisors (see below), whose sum is σ = 147251520. Its totient is φ = 44142336.

The previous prime is 82348363. The next prime is 82348381. The reversal of 82348371 is 17384328.

It is not a de Polignac number, because 82348371 - 23 = 82348363 is a prime.

It is a super-4 number, since 4×823483714 (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (82348351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 601015 + ... + 601151.

It is an arithmetic number, because the mean of its divisors is an integer number (2045160).

Almost surely, 282348371 is an apocalyptic number.

82348371 is a deficient number, since it is larger than the sum of its proper divisors (64903149).

82348371 is a wasteful number, since it uses less digits than its factorization.

82348371 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 82348371 is about 9074.6003217773. The cubic root of 82348371 is about 435.0625197496.

It can be divided in two parts, 823 and 48371, that added together give a palindrome (49194).

The spelling of 82348371 in words is "eighty-two million, three hundred forty-eight thousand, three hundred seventy-one".

Divisors: 1 3 7 9 21 29 47 49 63 87 137 141 147 203 261 329 411 423 441 609 959 987 1233 1363 1421 1827 2303 2877 2961 3973 4089 4263 6439 6713 6909 8631 9541 11919 12267 12789 19317 20139 20727 27811 28623 35757 45073 57951 60417 66787 83433 85869 135219 186731 194677 200361 250299 315511 405657 560193 584031 601083 946533 1307117 1680579 1752093 2839599 3921351 9149819 11764053 27449457 82348371