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82716336 = 2433191473
BaseRepresentation
bin1001110111000…
…10011010110000
312202122102111000
410323202122300
5132133410321
612112522000
72023035333
oct473423260
9182572430
1082716336
114276700a
1223850300
13141a18a1
14adb261a
1573dd826
hex4ee26b0

82716336 has 40 divisors (see below), whose sum is σ = 237427760. Its totient is φ = 27571968.

The previous prime is 82716301. The next prime is 82716341. The reversal of 82716336 is 63361728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82716336.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 95305 + ... + 96168.

It is an arithmetic number, because the mean of its divisors is an integer number (5935694).

Almost surely, 282716336 is an apocalyptic number.

It is an amenable number.

82716336 is an abundant number, since it is smaller than the sum of its proper divisors (154711424).

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

82716336 is a wasteful number, since it uses less digits than its factorization.

82716336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191490 (or 191478 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 82716336 is about 9094.8521703214. The cubic root of 82716336 is about 435.7095672593.

The spelling of 82716336 in words is "eighty-two million, seven hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 191473 382946 574419 765892 1148838 1531784 1723257 2297676 3063568 3446514 4595352 5169771 6893028 9190704 10339542 13786056 20679084 27572112 41358168 82716336