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82287616 = 2101729163
BaseRepresentation
bin1001110011110…
…01110000000000
312201211122101111
410321321300000
5132031200431
612055413104
72016301405
oct471716000
9181748344
1082287616
11424a39a4
1223684194
13140816c8
14ad002ac
1573567b1
hex4e79c00

82287616 has 88 divisors (see below), whose sum is σ = 181282320. Its totient is φ = 37158912.

The previous prime is 82287581. The next prime is 82287637. The reversal of 82287616 is 61678228.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 504751 + ... + 504913.

Almost surely, 282287616 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 82287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90641160).

82287616 is an abundant number, since it is smaller than the sum of its proper divisors (98994704).

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

82287616 is a wasteful number, since it uses less digits than its factorization.

82287616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 82287616 is about 9071.2521737630. The cubic root of 82287616 is about 434.9554999178.

The spelling of 82287616 in words is "eighty-two million, two hundred eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 163 232 256 272 326 464 493 512 544 652 928 986 1024 1088 1304 1856 1972 2176 2608 2771 3712 3944 4352 4727 5216 5542 7424 7888 8704 9454 10432 11084 14848 15776 17408 18908 20864 22168 29696 31552 37816 41728 44336 63104 75632 80359 83456 88672 126208 151264 160718 166912 177344 252416 302528 321436 354688 504832 605056 642872 709376 1210112 1285744 1418752 2420224 2571488 2837504 4840448 5142976 10285952 20571904 41143808 82287616