Search a number
-
+
82354103 = 1317537989
BaseRepresentation
bin1001110100010…
…01111110110111
312201222000120222
410322021332313
5132040312403
612101044555
72016666266
oct472117667
9181860528
1082354103
1142539947
12236b675b
13140a5a50
14ad1a5dd
15736b338
hex4e89fb7

82354103 has 32 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 68530176.

The previous prime is 82354079. The next prime is 82354127. The reversal of 82354103 is 30145328.

It is an interprime number because it is at equal distance from previous prime (82354079) and next prime (82354127).

It is not a de Polignac number, because 82354103 - 210 = 82353079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82354133) 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 31 ways as a sum of consecutive naturals, for example, 925283 + ... + 925371.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 282354103 is an apocalyptic number.

82354103 is a deficient number, since it is larger than the sum of its proper divisors (15623497).

82354103 is a wasteful number, since it uses less digits than its factorization.

82354103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 82354103 is about 9074.9161428632. The cubic root of 82354103 is about 435.0726139404.

The spelling of 82354103 in words is "eighty-two million, three hundred fifty-four thousand, one hundred three".

Divisors: 1 13 17 53 79 89 221 689 901 1027 1157 1343 1513 4187 4717 7031 11713 17459 19669 54431 61321 71179 80189 91403 119527 372643 925327 1042457 1553851 4844359 6334931 82354103