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7142382 = 23213131233
BaseRepresentation
bin11011001111101111101110
3111102212111200
4123033233232
53312024012
6413030330
7114465162
oct33175756
914385450
107142382
1140391a5
1224853a6
131630c80
14d3cca2
159613dc
hex6cfbee

7142382 has 48 divisors (see below), whose sum is σ = 16864848. Its totient is φ = 2171520.

The previous prime is 7142371. The next prime is 7142383. The reversal of 7142382 is 2832417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7142383) 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 23 ways as a sum of consecutive naturals, for example, 30538 + ... + 30770.

It is an arithmetic number, because the mean of its divisors is an integer number (351351).

Almost surely, 27142382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432424).

7142382 is an abundant number, since it is smaller than the sum of its proper divisors (9722466).

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

7142382 is a wasteful number, since it uses less digits than its factorization.

7142382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 7142382 is about 2672.5235265569. The cubic root of 7142382 is about 192.5814081943.

Adding to 7142382 its reverse (2832417), we get a palindrome (9974799).

The spelling of 7142382 in words is "seven million, one hundred forty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 233 234 262 393 466 699 786 1179 1398 1703 2097 2358 3029 3406 4194 5109 6058 9087 10218 15327 18174 27261 30523 30654 54522 61046 91569 183138 274707 396799 549414 793598 1190397 2380794 3571191 7142382