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82863528 = 233112811117
BaseRepresentation
bin1001111000001…
…10010110101000
312202220220101120
410330012112220
5132203113103
612120015240
72024220426
oct474062650
9182826346
1082863528
1142857660
1223901520
1314223897
14b010116
15741c253
hex4f065a8

82863528 has 64 divisors (see below), whose sum is σ = 226998720. Its totient is φ = 24998400.

The previous prime is 82863509. The next prime is 82863569. The reversal of 82863528 is 82536828.

It is a self number, because there is not a number n which added to its sum of digits gives 82863528.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73626 + ... + 74742.

It is an arithmetic number, because the mean of its divisors is an integer number (3546855).

Almost surely, 282863528 is an apocalyptic number.

82863528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82863528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113499360).

82863528 is an abundant number, since it is smaller than the sum of its proper divisors (144135192).

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

82863528 is a wasteful number, since it uses less digits than its factorization.

82863528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1414 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 82863528 is about 9102.9406237765. The cubic root of 82863528 is about 435.9678594830.

The spelling of 82863528 in words is "eighty-two million, eight hundred sixty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 281 562 843 1117 1124 1686 2234 2248 3091 3351 3372 4468 6182 6702 6744 8936 9273 12287 12364 13404 18546 24574 24728 26808 36861 37092 49148 73722 74184 98296 147444 294888 313877 627754 941631 1255508 1883262 2511016 3452647 3766524 6905294 7533048 10357941 13810588 20715882 27621176 41431764 82863528