Search a number
-
+
8027181225 = 3252726710867
BaseRepresentation
bin1110111100111010…
…10001000010101001
3202201102120001112100
413132131101002221
5112414424244400
63404310204013
7402630625500
oct73635210251
922642501470
108027181225
11344a153078
121680353609
139ac06c09b
14562141837
1531eab9100
hex1de7510a9

8027181225 has 108 divisors (see below), whose sum is σ = 16976120304. Its totient is φ = 3614466240.

The previous prime is 8027181223. The next prime is 8027181233. The reversal of 8027181225 is 5221817208.

It is not a de Polignac number, because 8027181225 - 21 = 8027181223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8027181225.

It is not an unprimeable number, because it can be changed into a prime (8027181223) 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 107 ways as a sum of consecutive naturals, for example, 733242 + ... + 744108.

Almost surely, 28027181225 is an apocalyptic number.

It is an amenable number.

8027181225 is an abundant number, since it is smaller than the sum of its proper divisors (8948939079).

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

8027181225 is a wasteful number, since it uses less digits than its factorization.

8027181225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10964 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 8027181225 is about 89594.5379194513. The cubic root of 8027181225 is about 2002.2625415710.

The spelling of 8027181225 in words is "eight billion, twenty-seven million, one hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 67 75 105 147 175 201 225 245 315 335 441 469 525 603 735 1005 1225 1407 1575 1675 2205 2345 3015 3283 3675 4221 5025 7035 9849 10867 11025 11725 15075 16415 21105 29547 32601 35175 49245 54335 76069 82075 97803 105525 147735 163005 228207 246225 271675 380345 489015 532483 684621 728089 738675 815025 1141035 1597449 1901725 2184267 2445075 2662415 3423105 3640445 4792347 5096623 5705175 6552801 7987245 10921335 13312075 15289869 17115525 18202225 23961735 25483115 32764005 35676361 39936225 45869607 54606675 76449345 107029083 119808675 127415575 163820025 178381805 229348035 321087249 382246725 535145415 891909025 1146740175 1605436245 2675727075 8027181225