Search a number
-
+
27029808 = 2433134813
BaseRepresentation
bin110011100011…
…1000100110000
31212212020221000
41213013010300
523404423213
62403202000
7445515051
oct147070460
955766830
1027029808
1114291993
129076300
1357a5090
143838728
15258dc73
hex19c7130

27029808 has 80 divisors (see below), whose sum is σ = 83571040. Its totient is φ = 8315136.

The previous prime is 27029803. The next prime is 27029809. The reversal of 27029808 is 80892072.

It is a super-2 number, since 2×270298082 = 1461221041033728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27029803) 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 15 ways as a sum of consecutive naturals, for example, 3210 + ... + 8022.

It is an arithmetic number, because the mean of its divisors is an integer number (1044638).

Almost surely, 227029808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27029808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41785520).

27029808 is an abundant number, since it is smaller than the sum of its proper divisors (56541232).

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

27029808 is a wasteful number, since it uses less digits than its factorization.

27029808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 27029808 is about 5199.0199076364. The cubic root of 27029808 is about 300.1103593977.

The spelling of 27029808 in words is "twenty-seven million, twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 4813 5616 9626 14439 19252 28878 38504 43317 57756 62569 77008 86634 115512 125138 129951 173268 187707 231024 250276 259902 346536 375414 500552 519804 563121 693072 750828 1001104 1039608 1126242 1501656 1689363 2079216 2252484 3003312 3378726 4504968 6757452 9009936 13514904 27029808