Search a number
-
+
82197852 = 223112572423
BaseRepresentation
bin1001110011000…
…11110101011100
312201200002020220
410321203311130
5132020312402
612053441340
72015445612
oct471436534
9181602226
1082197852
1142442510
1223640250
131404c8a9
14acb96b2
157339dbc
hex4e63d5c

82197852 has 48 divisors (see below), whose sum is σ = 210131712. Its totient is φ = 24801280.

The previous prime is 82197851. The next prime is 82197889. The reversal of 82197852 is 25879128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82197851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32713 + ... + 35135.

It is an arithmetic number, because the mean of its divisors is an integer number (4377744).

Almost surely, 282197852 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 82197852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105065856).

82197852 is an abundant number, since it is smaller than the sum of its proper divisors (127933860).

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

82197852 is a wasteful number, since it uses less digits than its factorization.

82197852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2696 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 82197852 is about 9066.3031054559. The cubic root of 82197852 is about 434.7972843284.

The spelling of 82197852 in words is "eighty-two million, one hundred ninety-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 257 514 771 1028 1542 2423 2827 3084 4846 5654 7269 8481 9692 11308 14538 16962 26653 29076 33924 53306 79959 106612 159918 319836 622711 1245422 1868133 2490844 3736266 6849821 7472532 13699642 20549463 27399284 41098926 82197852