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82130256 = 24321373601
BaseRepresentation
bin1001110010100…
…11010101010000
312201112122112100
410321103111100
5132011132011
612052200400
72015044545
oct471232520
9181478470
1082130256
11423a674a
1223609100
1314027bb0
14ac9cbcc
157324d56
hex4e53550

82130256 has 120 divisors (see below), whose sum is σ = 251339816. Its totient is φ = 24883200.

The previous prime is 82130227. The next prime is 82130287. The reversal of 82130256 is 65203128.

It can be written as a sum of positive squares in 4 ways, for example, as 13571856 + 68558400 = 3684^2 + 8280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136356 + ... + 136956.

Almost surely, 282130256 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 82130256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125669908).

82130256 is an abundant number, since it is smaller than the sum of its proper divisors (169209560).

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

82130256 is a wasteful number, since it uses less digits than its factorization.

82130256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82130256 is about 9062.5744686596. The cubic root of 82130256 is about 434.6780654084.

The spelling of 82130256 in words is "eighty-two million, one hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 208 219 234 292 312 438 468 584 601 624 657 876 936 949 1168 1202 1314 1752 1803 1872 1898 2404 2628 2847 3504 3606 3796 4808 5256 5409 5694 7212 7592 7813 8541 9616 10512 10818 11388 14424 15184 15626 17082 21636 22776 23439 28848 31252 34164 43272 43873 45552 46878 62504 68328 70317 86544 87746 93756 125008 131619 136656 140634 175492 187512 263238 281268 350984 375024 394857 526476 562536 570349 701968 789714 1052952 1125072 1140698 1579428 1711047 2105904 2281396 3158856 3422094 4562792 5133141 6317712 6844188 9125584 10266282 13688376 20532564 27376752 41065128 82130256