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829235142 = 23278758537
BaseRepresentation
bin110001011011010…
…001111111000110
32010210100111202200
4301123101333012
53144241011032
6214141215330
726356245111
oct6133217706
92123314680
10829235142
113960996aa
121b1861546
13102a4a9a8
147c1b9578
154cbee47c
hex316d1fc6

829235142 has 24 divisors (see below), whose sum is σ = 1798989816. Its totient is φ = 276055776.

The previous prime is 829235131. The next prime is 829235153. The reversal of 829235142 is 241532928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (829235131) and next prime (829235153).

It is a junction number, because it is equal to n+sod(n) for n = 829235097 and 829235106.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15103 + ... + 43434.

It is an arithmetic number, because the mean of its divisors is an integer number (74957909).

Almost surely, 2829235142 is an apocalyptic number.

829235142 is an abundant number, since it is smaller than the sum of its proper divisors (969754674).

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

829235142 is a wasteful number, since it uses less digits than its factorization.

829235142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59332 (or 59329 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 829235142 is about 28796.4432178698. The cubic root of 829235142 is about 939.4908748922.

It can be divided in two parts, 8292 and 35142, that added together give a palindrome (43434).

The spelling of 829235142 in words is "eight hundred twenty-nine million, two hundred thirty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 787 1574 2361 4722 7083 14166 58537 117074 175611 351222 526833 1053666 46068619 92137238 138205857 276411714 414617571 829235142