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82000083 = 31123108037
BaseRepresentation
bin1001110001100…
…11100011010011
312201022000222010
410320303203103
5131443000313
612045314003
72013663204
oct470634323
9181260863
1082000083
1142317970
1223565903
1313cb0879
14ac675ab
1572eb4c3
hex4e338d3

82000083 has 16 divisors (see below), whose sum is σ = 124459776. Its totient is φ = 47535840.

The previous prime is 82000073. The next prime is 82000151. The reversal of 82000083 is 38000028.

It is not a de Polignac number, because 82000083 - 29 = 81999571 is a prime.

It is a super-2 number, since 2×820000832 = 13448027224013778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82000073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53260 + ... + 54777.

It is an arithmetic number, because the mean of its divisors is an integer number (7778736).

Almost surely, 282000083 is an apocalyptic number.

82000083 is a deficient number, since it is larger than the sum of its proper divisors (42459693).

82000083 is a wasteful number, since it uses less digits than its factorization.

82000083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108074.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82000083 is about 9055.3897210446. The cubic root of 82000083 is about 434.4482951589.

The spelling of 82000083 in words is "eighty-two million, eighty-three", and thus it is an aban number and an uban number.

Divisors: 1 3 11 23 33 69 253 759 108037 324111 1188407 2484851 3565221 7454553 27333361 82000083