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82016982 = 23311313441
BaseRepresentation
bin1001110001101…
…11101011010110
312201022220011000
410320313223112
5131444020412
612045524130
72014063365
oct470675326
9181286130
1082016982
1142329633
1223573646
1313cb8478
14ac6d7dc
1573014dc
hex4e37ad6

82016982 has 32 divisors (see below), whose sum is σ = 183886560. Its totient is φ = 27095040.

The previous prime is 82016969. The next prime is 82016983. The reversal of 82016982 is 28961028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82016983) 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, 619 + ... + 12822.

It is an arithmetic number, because the mean of its divisors is an integer number (5746455).

Almost surely, 282016982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82016982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91943280).

82016982 is an abundant number, since it is smaller than the sum of its proper divisors (101869578).

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

82016982 is a wasteful number, since it uses less digits than its factorization.

82016982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13565 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 82016982 is about 9056.3227636828. The cubic root of 82016982 is about 434.4781375574.

The spelling of 82016982 in words is "eighty-two million, sixteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 6102 13441 26882 40323 80646 120969 241938 362907 725814 1518833 3037666 4556499 9112998 13669497 27338994 41008491 82016982