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82052431 = 1923187763
BaseRepresentation
bin1001110010000…
…00010101001111
312201101200202221
410321000111033
5132001134211
612050400211
72014301626
oct471002517
9181350687
1082052431
114235322a
1223590067
1313ccb646
14ac7c6bd
15730bc71
hex4e4054f

82052431 has 8 divisors (see below), whose sum is σ = 90126720. Its totient is φ = 74353752.

The previous prime is 82052419. The next prime is 82052441. The reversal of 82052431 is 13425028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82052431 - 29 = 82051919 is a prime.

It is a super-2 number, since 2×820524312 = 13465202866019522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82052396 and 82052405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82052401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93445 + ... + 94318.

It is an arithmetic number, because the mean of its divisors is an integer number (11265840).

Almost surely, 282052431 is an apocalyptic number.

82052431 is a deficient number, since it is larger than the sum of its proper divisors (8074289).

82052431 is a wasteful number, since it uses less digits than its factorization.

82052431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187805.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 82052431 is about 9058.2796931868. The cubic root of 82052431 is about 434.5407245838.

Adding to 82052431 its reverse (13425028), we get a palindrome (95477459).

The spelling of 82052431 in words is "eighty-two million, fifty-two thousand, four hundred thirty-one".

Divisors: 1 19 23 437 187763 3567497 4318549 82052431