Search a number
-
+
27082902 = 2371131261
BaseRepresentation
bin110011101010…
…0000010010110
31212221221202110
41213110002112
523413123102
62404251450
7446125620
oct147240226
955857673
1027082902
1114318870
1290a0b86
1357c32b2
14384dc10
15259e86c
hex19d4096

27082902 has 96 divisors (see below), whose sum is σ = 70924032. Its totient is φ = 6696000.

The previous prime is 27082901. The next prime is 27082949. The reversal of 27082902 is 20928072.

It is a self number, because there is not a number n which added to its sum of digits gives 27082902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27082901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443952 + ... + 444012.

It is an arithmetic number, because the mean of its divisors is an integer number (738792).

Almost surely, 227082902 is an apocalyptic number.

27082902 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27082902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35462016).

27082902 is an abundant number, since it is smaller than the sum of its proper divisors (43841130).

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

27082902 is a wasteful number, since it uses less digits than its factorization.

27082902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 27082902 is about 5204.1235573341. The cubic root of 27082902 is about 300.3067307251.

The spelling of 27082902 in words is "twenty-seven million, eighty-two thousand, nine hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 61 62 66 77 93 122 154 183 186 217 231 341 366 427 434 462 651 671 682 854 961 1023 1281 1302 1342 1891 1922 2013 2046 2387 2562 2883 3782 4026 4697 4774 5673 5766 6727 7161 9394 10571 11346 13237 13454 14091 14322 20181 20801 21142 26474 28182 31713 39711 40362 41602 58621 62403 63426 73997 79422 117242 124806 145607 147994 175863 221991 291214 351726 410347 436821 443982 644831 820694 873642 1231041 1289662 1934493 2462082 3868986 4513817 9027634 13541451 27082902