Search a number
-
+
39212268 = 223171671151
BaseRepresentation
bin1001010110010…
…1010011101100
32201210012010020
42111211103230
540014243033
63520242140
7654204324
oct225452354
981705106
1039212268
1120152837
1211170350
13817c134
1452ca284
1536986b3
hex25654ec

39212268 has 48 divisors (see below), whose sum is σ = 97542144. Its totient is φ = 12217600.

The previous prime is 39212249. The next prime is 39212279. The reversal of 39212268 is 86221293.

It is a happy number.

39212268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33493 + ... + 34643.

It is an arithmetic number, because the mean of its divisors is an integer number (2032128).

Almost surely, 239212268 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 39212268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771072).

39212268 is an abundant number, since it is smaller than the sum of its proper divisors (58329876).

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

39212268 is a wasteful number, since it uses less digits than its factorization.

39212268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1340 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 39212268 is about 6261.9699775710. The cubic root of 39212268 is about 339.7352841481.

The spelling of 39212268 in words is "thirty-nine million, two hundred twelve thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 334 501 668 1002 1151 2004 2302 2839 3453 4604 5678 6906 8517 11356 13812 17034 19567 34068 39134 58701 78268 117402 192217 234804 384434 576651 768868 1153302 2306604 3267689 6535378 9803067 13070756 19606134 39212268