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82243512 = 2334132751
BaseRepresentation
bin1001110011011…
…10111110111000
312201202101220000
410321232332320
5132023243022
612054433000
72016026001
oct471567670
9181671800
1082243512
114247384a
1223662760
1314067600
14accc1a8
1573486ac
hex4e6efb8

82243512 has 120 divisors (see below), whose sum is σ = 249773040. Its totient is φ = 25272000.

The previous prime is 82243471. The next prime is 82243529. The reversal of 82243512 is 21534228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 109137 + ... + 109887.

It is an arithmetic number, because the mean of its divisors is an integer number (2081442).

Almost surely, 282243512 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 82243512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124886520).

82243512 is an abundant number, since it is smaller than the sum of its proper divisors (167529528).

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

82243512 is a wasteful number, since it uses less digits than its factorization.

82243512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 769 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 82243512 is about 9068.8208715356. The cubic root of 82243512 is about 434.8777777908.

The spelling of 82243512 in words is "eighty-two million, two hundred forty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 312 324 338 351 468 507 648 676 702 751 936 1014 1053 1352 1404 1502 1521 2028 2106 2253 2808 3004 3042 4056 4212 4506 4563 6008 6084 6759 8424 9012 9126 9763 12168 13518 13689 18024 18252 19526 20277 27036 27378 29289 36504 39052 40554 54072 54756 58578 60831 78104 81108 87867 109512 117156 121662 126919 162216 175734 234312 243324 253838 263601 351468 380757 486648 507676 527202 702936 761514 790803 1015352 1054404 1142271 1523028 1581606 2108808 2284542 3046056 3163212 3426813 4569084 6326424 6853626 9138168 10280439 13707252 20560878 27414504 41121756 82243512