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82990193 = 11133197193
BaseRepresentation
bin1001111001001…
…01010001110001
312210011100010212
410330211101301
5132221141233
612122433505
72025255626
oct474452161
9183140125
1082990193
1142933840
1223962895
1314269430
14b04434d
157444a48
hex4f25471

82990193 has 32 divisors (see below), whose sum is σ = 102208512. Its totient is φ = 66355200.

The previous prime is 82990189. The next prime is 82990207. The reversal of 82990193 is 39109928.

It is a cyclic number.

It is not a de Polignac number, because 82990193 - 22 = 82990189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82990193.

It is not an unprimeable number, because it can be changed into a prime (82990133) 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 31 ways as a sum of consecutive naturals, for example, 429905 + ... + 430097.

It is an arithmetic number, because the mean of its divisors is an integer number (3194016).

Almost surely, 282990193 is an apocalyptic number.

It is an amenable number.

82990193 is a deficient number, since it is larger than the sum of its proper divisors (19218319).

82990193 is a wasteful number, since it uses less digits than its factorization.

82990193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345.

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 82990193 is about 9109.8953341957. The cubic root of 82990193 is about 436.1898862169.

The spelling of 82990193 in words is "eighty-two million, nine hundred ninety thousand, one hundred ninety-three".

Divisors: 1 11 13 31 97 143 193 341 403 1067 1261 2123 2509 3007 4433 5983 13871 18721 27599 33077 39091 65813 77779 205931 243373 430001 580351 855569 2677103 6383861 7544563 82990193