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82280716 = 22719211733
BaseRepresentation
bin1001110011110…
…00000100001100
312201211021220221
410321320010030
5132030440331
612055321124
72016242320
oct471700414
9181737827
1082280716
11424997a1
12236801a4
131407b51b
14acdb980
157354711
hex4e7810c

82280716 has 48 divisors (see below), whose sum is σ = 174280960. Its totient is φ = 33203520.

The previous prime is 82280687. The next prime is 82280797. The reversal of 82280716 is 61708228.

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 15 ways as a sum of consecutive naturals, for example, 111886 + ... + 112618.

Almost surely, 282280716 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 82280716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87140480).

82280716 is an abundant number, since it is smaller than the sum of its proper divisors (92000244).

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

82280716 is a wasteful number, since it uses less digits than its factorization.

82280716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 82280716 is about 9070.8718434338. The cubic root of 82280716 is about 434.9433422486.

The spelling of 82280716 in words is "eighty-two million, two hundred eighty thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 76 133 211 266 422 532 733 844 1466 1477 2932 2954 4009 5131 5908 8018 10262 13927 16036 20524 27854 28063 55708 56126 97489 112252 154663 194978 309326 389956 618652 1082641 2165282 2938597 4330564 5877194 11754388 20570179 41140358 82280716