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82623856 = 2471941947
BaseRepresentation
bin1001110110010…
…11110101110000
312202110201121211
410323023311300
5132122430411
612110525504
72022201610
oct473136560
9182421554
1082623856
1142703587
1223806894
131416b773
14ad8aa40
1573c1221
hex4ecbd70

82623856 has 80 divisors (see below), whose sum is σ = 197487360. Its totient is φ = 32693760.

The previous prime is 82623851. The next prime is 82623857. The reversal of 82623856 is 65832628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82623851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86775 + ... + 87721.

It is an arithmetic number, because the mean of its divisors is an integer number (2468592).

Almost surely, 282623856 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 82623856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98743680).

82623856 is an abundant number, since it is smaller than the sum of its proper divisors (114863504).

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

82623856 is a wasteful number, since it uses less digits than its factorization.

82623856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 82623856 is about 9089.7665536580. The cubic root of 82623856 is about 435.5471267670.

The spelling of 82623856 in words is "eighty-two million, six hundred twenty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 41 56 76 82 112 133 152 164 266 287 304 328 532 574 656 779 947 1064 1148 1558 1894 2128 2296 3116 3788 4592 5453 6232 6629 7576 10906 12464 13258 15152 17993 21812 26516 35986 38827 43624 53032 71972 77654 87248 106064 125951 143944 155308 251902 271789 287888 310616 503804 543578 621232 737713 1007608 1087156 1475426 2015216 2174312 2950852 4348624 5163991 5901704 10327982 11803408 20655964 41311928 82623856