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82169376 = 2531922371
BaseRepresentation
bin1001110010111…
…00111000100000
312201121122012020
410321130320200
5132013410001
612053101440
72015266602
oct471347040
9181548166
1082169376
1142423083
1223627880
131403c943
14acad172
157331736
hex4e5ce20

82169376 has 72 divisors (see below), whose sum is σ = 227740464. Its totient is φ = 25937280.

The previous prime is 82169369. The next prime is 82169387. The reversal of 82169376 is 67396128.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33471 + ... + 35841.

It is an arithmetic number, because the mean of its divisors is an integer number (3163062).

Almost surely, 282169376 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 82169376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113870232).

82169376 is an abundant number, since it is smaller than the sum of its proper divisors (145571088).

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

82169376 is a wasteful number, since it uses less digits than its factorization.

82169376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2395 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 82169376 is about 9064.7325388011. The cubic root of 82169376 is about 434.7470692388.

The spelling of 82169376 in words is "eighty-two million, one hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 361 456 608 722 912 1083 1444 1824 2166 2371 2888 4332 4742 5776 7113 8664 9484 11552 14226 17328 18968 28452 34656 37936 45049 56904 75872 90098 113808 135147 180196 227616 270294 360392 540588 720784 855931 1081176 1441568 1711862 2162352 2567793 3423724 4324704 5135586 6847448 10271172 13694896 20542344 27389792 41084688 82169376