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82349601 = 3432392671
BaseRepresentation
bin1001110100010…
…00111000100001
312201221210102020
410322020320201
5132040141401
612101012053
72016650205
oct472107041
9181853366
1082349601
1142536524
12236b4029
13140a3999
14ad18b05
157369d36
hex4e88e21

82349601 has 16 divisors (see below), whose sum is σ = 112865280. Its totient is φ = 53378640.

The previous prime is 82349569. The next prime is 82349611. The reversal of 82349601 is 10694328.

It is not a de Polignac number, because 82349601 - 25 = 82349569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82349611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29496 + ... + 32166.

It is an arithmetic number, because the mean of its divisors is an integer number (7054080).

Almost surely, 282349601 is an apocalyptic number.

It is an amenable number.

82349601 is a deficient number, since it is larger than the sum of its proper divisors (30515679).

82349601 is a wasteful number, since it uses less digits than its factorization.

82349601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 82349601 is about 9074.6680931040. The cubic root of 82349601 is about 435.0646858489.

The spelling of 82349601 in words is "eighty-two million, three hundred forty-nine thousand, six hundred one".

Divisors: 1 3 43 129 239 717 2671 8013 10277 30831 114853 344559 638369 1915107 27449867 82349601