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82098401 = 7116911543
BaseRepresentation
bin1001110010010…
…11100011100001
312201111000211112
410321023203201
5132004122101
612051353105
72014552640
oct471134341
9181430745
1082098401
1142384820
12235b2795
1314016548
14ac91357
15731a6bb
hex4e4b8e1

82098401 has 16 divisors (see below), whose sum is σ = 102571008. Its totient is φ = 63838800.

The previous prime is 82098397. The next prime is 82098413. The reversal of 82098401 is 10489028.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82098401 - 22 = 82098397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82098421) by changing a digit.

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, 52436 + ... + 53978.

It is an arithmetic number, because the mean of its divisors is an integer number (6410688).

Almost surely, 282098401 is an apocalyptic number.

It is an amenable number.

82098401 is a deficient number, since it is larger than the sum of its proper divisors (20472607).

82098401 is a wasteful number, since it uses less digits than its factorization.

82098401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 82098401 is about 9060.8167954109. The cubic root of 82098401 is about 434.6218601355.

The spelling of 82098401 in words is "eighty-two million, ninety-eight thousand, four hundred one".

Divisors: 1 7 11 77 691 1543 4837 7601 10801 16973 53207 118811 1066213 7463491 11728343 82098401