Search a number
-
+
82770534 = 23271126189
BaseRepresentation
bin1001110111011…
…11101001100110
312202202011211100
410323233221212
5132142124114
612114020530
72023352340
oct473575146
9182664740
1082770534
11427a3800
1223877746
13141c0462
14adc8290
1573ee909
hex4eefa66

82770534 has 144 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 20908800.

The previous prime is 82770509. The next prime is 82770547. The reversal of 82770534 is 43507728.

It is a super-2 number, since 2×827705342 = 13701922597290312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 929962 + ... + 930050.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 282770534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82770534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

82770534 is an abundant number, since it is smaller than the sum of its proper divisors (148777146).

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

82770534 is a wasteful number, since it uses less digits than its factorization.

82770534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 82770534 is about 9097.8312800359. The cubic root of 82770534 is about 435.8047094142.

The spelling of 82770534 in words is "eighty-two million, seven hundred seventy thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 61 63 66 77 89 99 121 122 126 154 178 183 198 231 242 267 363 366 427 462 534 549 623 671 693 726 801 847 854 979 1089 1098 1246 1281 1342 1386 1602 1694 1869 1958 2013 2178 2541 2562 2937 3738 3843 4026 4697 5082 5429 5607 5874 6039 6853 7381 7623 7686 8811 9394 10769 10858 11214 12078 13706 14091 14762 15246 16287 17622 20559 21538 22143 28182 32307 32574 38003 41118 42273 44286 48861 51667 59719 61677 64614 66429 75383 76006 84546 96921 97722 103334 114009 119438 123354 132858 150766 155001 179157 193842 226149 228018 310002 342027 358314 418033 452298 465003 537471 656909 678447 684054 836066 930006 1074942 1254099 1313818 1356894 1970727 2508198 3762297 3941454 4598363 5912181 7524594 9196726 11824362 13795089 27590178 41385267 82770534