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82398105 = 3254397439
BaseRepresentation
bin1001110100101…
…00101110011001
312202001020221200
410322110232121
5132043214410
612102024413
72020241466
oct472245631
9182036850
1082398105
1142569a09
1223718109
13140bca9a
14ad2c66d
1573793c0
hex4e94b99

82398105 has 48 divisors (see below), whose sum is σ = 147987840. Its totient is φ = 42384384.

The previous prime is 82398103. The next prime is 82398137. The reversal of 82398105 is 50189328.

It is not a de Polignac number, because 82398105 - 21 = 82398103 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82398105.

It is not an unprimeable number, because it can be changed into a prime (82398101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187476 + ... + 187914.

It is an arithmetic number, because the mean of its divisors is an integer number (3083080).

Almost surely, 282398105 is an apocalyptic number.

It is an amenable number.

82398105 is a deficient number, since it is larger than the sum of its proper divisors (65589735).

82398105 is a wasteful number, since it uses less digits than its factorization.

82398105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 82398105 is about 9077.3401941318. The cubic root of 82398105 is about 435.1500869337.

The spelling of 82398105 in words is "eighty-two million, three hundred ninety-eight thousand, one hundred five".

Divisors: 1 3 5 9 15 43 45 97 129 215 291 387 439 485 645 873 1317 1455 1935 2195 3951 4171 4365 6585 12513 18877 19755 20855 37539 42583 56631 62565 94385 127749 169893 187695 212915 283155 383247 638745 849465 1831069 1916235 5493207 9155345 16479621 27466035 82398105