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82857112 = 23131495347
BaseRepresentation
bin1001111000001…
…00110010011000
312202220120120221
410330010302120
5132202411422
612115525424
72024162632
oct474046230
9182816527
1082857112
1142852858
12238b9874
13142209a0
14b00ba52
15741a3c7
hex4f04c98

82857112 has 32 divisors (see below), whose sum is σ = 168462000. Its totient is φ = 37977984.

The previous prime is 82857077. The next prime is 82857149. The reversal of 82857112 is 21175828.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12823 + ... + 18169.

Almost surely, 282857112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82857112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84231000).

82857112 is an abundant number, since it is smaller than the sum of its proper divisors (85604888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82857112 is a wasteful number, since it uses less digits than its factorization.

82857112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5511 counting only the distinct ones).

The product of its digits is 8960, while the sum is 34.

The square root of 82857112 is about 9102.5882033628. The cubic root of 82857112 is about 435.9566070778.

The spelling of 82857112 in words is "eighty-two million, eight hundred fifty-seven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 149 298 596 1192 1937 3874 5347 7748 10694 15496 21388 42776 69511 139022 278044 556088 796703 1593406 3186812 6373624 10357139 20714278 41428556 82857112