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82486560 = 25351313219
BaseRepresentation
bin1001110101010…
…10010100100000
312202012202021210
410322222110200
5132104032220
612103550120
72021060412
oct472522440
9182182253
1082486560
114261a412
122375b340
1314121120
14ad529b2
1573956e0
hex4eaa520

82486560 has 96 divisors (see below), whose sum is σ = 279840960. Its totient is φ = 20302848.

The previous prime is 82486559. The next prime is 82486561. The reversal of 82486560 is 6568428.

It is an interprime number because it is at equal distance from previous prime (82486559) and next prime (82486561).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82486561) by changing a digit.

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, 370 + ... + 12849.

It is an arithmetic number, because the mean of its divisors is an integer number (2915010).

Almost surely, 282486560 is an apocalyptic number.

82486560 is a gapful number since it is divisible by the number (80) 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 82486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139920480).

82486560 is an abundant number, since it is smaller than the sum of its proper divisors (197354400).

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

82486560 is a wasteful number, since it uses less digits than its factorization.

82486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13250 (or 13242 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 82486560 is about 9082.2111845079. The cubic root of 82486560 is about 435.3057435701.

The spelling of 82486560 in words is "eighty-two million, four hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 13219 26438 39657 52876 66095 79314 105752 132190 158628 171847 198285 211504 264380 317256 343694 396570 423008 515541 528760 634512 687388 793140 859235 1031082 1057520 1269024 1374776 1586280 1718470 2062164 2115040 2577705 2749552 3172560 3436940 4124328 5155410 5499104 6345120 6873880 8248656 10310820 13747760 16497312 20621640 27495520 41243280 82486560