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82161376 = 2511415693
BaseRepresentation
bin1001110010110…
…10111011100000
312201121020012221
410321122323200
5132013131001
612053000424
72015234353
oct471327340
9181536187
1082161376
1142418070
1223623114
13140390cb
14acaa29a
15732e1a1
hex4e5aee0

82161376 has 48 divisors (see below), whose sum is σ = 180795888. Its totient is φ = 36428800.

The previous prime is 82161293. The next prime is 82161389. The reversal of 82161376 is 67316128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11586 + ... + 17278.

It is an arithmetic number, because the mean of its divisors is an integer number (3766581).

Almost surely, 282161376 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 82161376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90397944).

82161376 is an abundant number, since it is smaller than the sum of its proper divisors (98634512).

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

82161376 is a wasteful number, since it uses less digits than its factorization.

82161376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5747 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 82161376 is about 9064.2912574564. The cubic root of 82161376 is about 434.7329598078.

The spelling of 82161376 in words is "eighty-two million, one hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 5693 7216 11386 14432 22772 45544 62623 91088 125246 182176 233413 250492 466826 500984 933652 1001968 1867304 2003936 2567543 3734608 5135086 7469216 10270172 20540344 41080688 82161376