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82119726 = 232131632153
BaseRepresentation
bin1001110010100…
…00110000101110
312201112010002100
410321100300232
5132010312401
612052035530
72015002053
oct471206056
9181463070
1082119726
1142399847
1223602ba6
1314023170
14ac9902a
157321b86
hex4e50c2e

82119726 has 48 divisors (see below), whose sum is σ = 192877776. Its totient is φ = 25100928.

The previous prime is 82119703. The next prime is 82119727. The reversal of 82119726 is 62791128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82119727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37066 + ... + 39218.

It is an arithmetic number, because the mean of its divisors is an integer number (4018287).

Almost surely, 282119726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82119726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96438888).

82119726 is an abundant number, since it is smaller than the sum of its proper divisors (110758050).

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

82119726 is a wasteful number, since it uses less digits than its factorization.

82119726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2334 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 82119726 is about 9061.9934892936. The cubic root of 82119726 is about 434.6594877819.

The spelling of 82119726 in words is "eighty-two million, one hundred nineteen thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 234 326 489 978 1467 2119 2153 2934 4238 4306 6357 6459 12714 12918 19071 19377 27989 38142 38754 55978 83967 167934 251901 350939 503802 701878 1052817 2105634 3158451 4562207 6316902 9124414 13686621 27373242 41059863 82119726