Search a number
-
+
82917198 = 232713223227
BaseRepresentation
bin1001111000100…
…11011101001110
312210000122000100
410330103131032
5132211322243
612121111530
72024533050
oct474233516
9183018010
1082917198
1142893a11
12239285a6
1314242140
14b0258d0
15742d0d3
hex4f1374e

82917198 has 96 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 21674304.

The previous prime is 82917193. The next prime is 82917203. The reversal of 82917198 is 89171928.

It is an interprime number because it is at equal distance from previous prime (82917193) and next prime (82917203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82917193) 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, 365161 + ... + 365387.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 282917198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82917198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

82917198 is an abundant number, since it is smaller than the sum of its proper divisors (140165298).

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

82917198 is a wasteful number, since it uses less digits than its factorization.

82917198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 82917198 is about 9105.8880950734. Note that the first 3 decimals coincide. The cubic root of 82917198 is about 436.0619633900.

The spelling of 82917198 in words is "eighty-two million, nine hundred seventeen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 223 227 234 273 446 454 546 669 681 819 1338 1362 1561 1589 1638 2007 2043 2899 2951 3122 3178 4014 4086 4683 4767 5798 5902 8697 8853 9366 9534 14049 14301 17394 17706 20293 20657 26091 26559 28098 28602 40586 41314 50621 52182 53118 60879 61971 101242 121758 123942 151863 182637 185913 303726 354347 365274 371826 455589 658073 708694 911178 1063041 1316146 1974219 2126082 3189123 3948438 4606511 5922657 6378246 9213022 11845314 13819533 27639066 41458599 82917198