Search a number
-
+
4192146 = 2327497
BaseRepresentation
bin1111111111011110010010
321212222112200
433333132102
52033122041
6225504030
750430000
oct17773622
97788480
104192146
112403692
1214a2016
13b3a17a
147b1a70
1557c1b6
hex3ff792

4192146 has 60 divisors (see below), whose sum is σ = 10705422. Its totient is φ = 1185408.

The previous prime is 4192129. The next prime is 4192157. The reversal of 4192146 is 6412914.

It can be written as a sum of positive squares in only one way, i.e., 3651921 + 540225 = 1911^2 + 735^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 43170 + ... + 43266.

Almost surely, 24192146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4192146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352711).

4192146 is an abundant number, since it is smaller than the sum of its proper divisors (6513276).

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

4192146 is an equidigital number, since it uses as much as digits as its factorization.

4192146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4192146 is about 2047.4730767461. The cubic root of 4192146 is about 161.2422314628.

The spelling of 4192146 in words is "four million, one hundred ninety-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 97 98 126 147 194 291 294 343 441 582 679 686 873 882 1029 1358 1746 2037 2058 2401 3087 4074 4753 4802 6111 6174 7203 9506 12222 14259 14406 21609 28518 33271 42777 43218 66542 85554 99813 199626 232897 299439 465794 598878 698691 1397382 2096073 4192146