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82464450 = 23521773443
BaseRepresentation
bin1001110101001…
…00111011000010
312202011121221220
410322210323002
5132102330300
612103255510
72020636065
oct472447302
9182147856
1082464450
1142604842
122374a596
1314114043
14ad488dc
15738dda0
hex4ea4ec2

82464450 has 96 divisors (see below), whose sum is σ = 220003776. Its totient is φ = 20367360.

The previous prime is 82464373. The next prime is 82464457. The reversal of 82464450 is 5446428.

It is not an unprimeable number, because it can be changed into a prime (82464457) 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 47 ways as a sum of consecutive naturals, for example, 185929 + ... + 186371.

It is an arithmetic number, because the mean of its divisors is an integer number (2291706).

Almost surely, 282464450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82464450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110001888).

82464450 is an abundant number, since it is smaller than the sum of its proper divisors (137539326).

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

82464450 is a wasteful number, since it uses less digits than its factorization.

82464450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 82464450 is about 9080.9938883362. The cubic root of 82464450 is about 435.2668464453.

The spelling of 82464450 in words is "eighty-two million, four hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 73 75 85 102 146 150 170 219 255 365 425 438 443 510 730 850 886 1095 1241 1275 1329 1825 2190 2215 2482 2550 2658 3650 3723 4430 5475 6205 6645 7446 7531 10950 11075 12410 13290 15062 18615 22150 22593 31025 32339 33225 37230 37655 45186 62050 64678 66450 75310 93075 97017 112965 161695 186150 188275 194034 225930 323390 376550 485085 549763 564825 808475 970170 1099526 1129650 1616950 1649289 2425425 2748815 3298578 4850850 5497630 8246445 13744075 16492890 27488150 41232225 82464450