Search a number
-
+
82521096 = 23372471493
BaseRepresentation
bin1001110101100…
…10110000001000
312202021111122220
410322302300020
5132111133341
612104414040
72021263200
oct472626010
9182244586
1082521096
1142643359
1223777320
1314133a68
14ad61400
1573a0a66
hex4eb2c08

82521096 has 96 divisors (see below), whose sum is σ = 245255040. Its totient is φ = 23060352.

The previous prime is 82521091. The next prime is 82521097. The reversal of 82521096 is 69012528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82521091) 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 23 ways as a sum of consecutive naturals, for example, 54526 + ... + 56018.

It is an arithmetic number, because the mean of its divisors is an integer number (2554740).

Almost surely, 282521096 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 82521096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122627520).

82521096 is an abundant number, since it is smaller than the sum of its proper divisors (162733944).

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

82521096 is a wasteful number, since it uses less digits than its factorization.

82521096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 82521096 is about 9084.1122846429. The cubic root of 82521096 is about 435.3664872901.

The spelling of 82521096 in words is "eighty-two million, five hundred twenty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 49 56 84 94 98 141 147 168 188 196 282 294 329 376 392 564 588 658 987 1128 1176 1316 1493 1974 2303 2632 2986 3948 4479 4606 5972 6909 7896 8958 9212 10451 11944 13818 17916 18424 20902 27636 31353 35832 41804 55272 62706 70171 73157 83608 125412 140342 146314 210513 219471 250824 280684 292628 421026 438942 491197 561368 585256 842052 877884 982394 1473591 1684104 1755768 1964788 2947182 3438379 3929576 5894364 6876758 10315137 11788728 13753516 20630274 27507032 41260548 82521096