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82260528 = 2437475209
BaseRepresentation
bin1001110011100…
…11001000110000
312201210021020020
410321303020300
5132024314103
612055043440
72016126420
oct471631060
9181707206
1082260528
1142485609
1223670580
131407228c
14acd4480
15734d753
hex4e73230

82260528 has 80 divisors (see below), whose sum is σ = 248079360. Its totient is φ = 22998528.

The previous prime is 82260517. The next prime is 82260539. The reversal of 82260528 is 82506228.

It is an interprime number because it is at equal distance from previous prime (82260517) and next prime (82260539).

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, 13188 + ... + 18396.

It is an arithmetic number, because the mean of its divisors is an integer number (3100992).

Almost surely, 282260528 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 82260528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124039680).

82260528 is an abundant number, since it is smaller than the sum of its proper divisors (165818832).

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

82260528 is a wasteful number, since it uses less digits than its factorization.

82260528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 82260528 is about 9069.7589824647. The cubic root of 82260528 is about 434.9077674715.

The spelling of 82260528 in words is "eighty-two million, two hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5209 5264 7896 10418 15627 15792 20836 31254 36463 41672 62508 72926 83344 109389 125016 145852 218778 244823 250032 291704 437556 489646 583408 734469 875112 979292 1468938 1713761 1750224 1958584 2937876 3427522 3917168 5141283 5875752 6855044 10282566 11751504 13710088 20565132 27420176 41130264 82260528