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82297296 = 243561347
BaseRepresentation
bin1001110011111…
…00000111010000
312201212010200000
410321330013100
5132032003141
612055530000
72016341544
oct471740720
9181763600
1082297296
11425001a4
1223689900
1314085c33
14ad03a24
1573595b6
hex4e7c1d0

82297296 has 120 divisors (see below), whose sum is σ = 243463584. Its totient is φ = 26904960.

The previous prime is 82297283. The next prime is 82297297. The reversal of 82297296 is 69279228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82297297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236995 + ... + 237341.

Almost surely, 282297296 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 82297296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121731792).

82297296 is an abundant number, since it is smaller than the sum of its proper divisors (161166288).

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

82297296 is a wasteful number, since it uses less digits than its factorization.

82297296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 82297296 is about 9071.7857117549. The cubic root of 82297296 is about 434.9725547488.

The spelling of 82297296 in words is "eighty-two million, two hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 347 366 432 486 488 549 648 694 732 972 976 1041 1098 1296 1388 1464 1647 1944 2082 2196 2776 2928 3123 3294 3888 4164 4392 4941 5552 6246 6588 8328 8784 9369 9882 12492 13176 14823 16656 18738 19764 21167 24984 26352 28107 29646 37476 39528 42334 49968 56214 59292 63501 74952 79056 84321 84668 112428 118584 127002 149904 168642 169336 190503 224856 237168 254004 337284 338672 381006 449712 508008 571509 674568 762012 1016016 1143018 1349136 1524024 1714527 2286036 3048048 3429054 4572072 5143581 6858108 9144144 10287162 13716216 20574324 27432432 41148648 82297296