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82682145 = 32571361331
BaseRepresentation
bin1001110110110…
…10000100100001
312202120200120200
410323122010201
5132131312040
612112055413
72022533550
oct473320441
9182520520
1082682145
1142743357
1223834569
131418c160
14ada3d97
1573d3630
hex4eda121

82682145 has 96 divisors (see below), whose sum is σ = 179821824. Its totient is φ = 34214400.

The previous prime is 82682141. The next prime is 82682183. The reversal of 82682145 is 54128628.

It is not a de Polignac number, because 82682145 - 22 = 82682141 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82682141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249630 + ... + 249960.

It is an arithmetic number, because the mean of its divisors is an integer number (1873144).

Almost surely, 282682145 is an apocalyptic number.

It is an amenable number.

82682145 is an abundant number, since it is smaller than the sum of its proper divisors (97139679).

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

82682145 is a wasteful number, since it uses less digits than its factorization.

82682145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 420 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 82682145 is about 9092.9722863319. The cubic root of 82682145 is about 435.6495251135.

The spelling of 82682145 in words is "eighty-two million, six hundred eighty-two thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 61 63 65 91 105 117 183 195 273 305 315 331 427 455 549 585 793 819 915 993 1281 1365 1655 2135 2317 2379 2745 2979 3843 3965 4095 4303 4965 5551 6405 6951 7137 11585 11895 12909 14895 16653 19215 20191 20853 21515 27755 30121 34755 35685 38727 49959 60573 64545 83265 90363 100955 104265 141337 150605 181719 193635 249795 262483 271089 302865 424011 451815 706685 787449 908595 1272033 1312415 1355445 1837381 2120055 2362347 3937245 5512143 6360165 9186905 11811735 16536429 27560715 82682145