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82435089 = 31110124733
BaseRepresentation
bin1001110100111…
…01110000010001
312202010010200110
410322131300101
5132100410324
612102511533
72020454352
oct472356021
9182103613
1082435089
1142594780
12237355a9
1314103879
14ad3bd29
157385329
hex4e9dc11

82435089 has 16 divisors (see below), whose sum is σ = 121097664. Its totient is φ = 49464000.

The previous prime is 82435079. The next prime is 82435099. The reversal of 82435089 is 98053428.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82435079) and next prime (82435099).

It is not a de Polignac number, because 82435089 - 211 = 82433041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82435009) 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, 9034 + ... + 15699.

It is an arithmetic number, because the mean of its divisors is an integer number (7568604).

Almost surely, 282435089 is an apocalyptic number.

It is an amenable number.

82435089 is a deficient number, since it is larger than the sum of its proper divisors (38662575).

82435089 is a wasteful number, since it uses less digits than its factorization.

82435089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24848.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 82435089 is about 9079.3771262130. The cubic root of 82435089 is about 435.2151822154.

The spelling of 82435089 in words is "eighty-two million, four hundred thirty-five thousand, eighty-nine".

Divisors: 1 3 11 33 101 303 1111 3333 24733 74199 272063 816189 2498033 7494099 27478363 82435089