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16082496 = 263341227
BaseRepresentation
bin111101010110…
…011001000000
31010021002001000
4331112121000
513104114441
61332412000
7253461513
oct75263100
933232030
1016082496
119095021
125477000
133441291
1421c8d7a
15162a2b6
hexf56640

16082496 has 112 divisors (see below), whose sum is σ = 48646080. Its totient is φ = 5207040.

The previous prime is 16082471. The next prime is 16082509. The reversal of 16082496 is 69428061.

16082496 is a `hidden beast` number, since 1 + 608 + 2 + 49 + 6 = 666.

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 16082496.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 70735 + ... + 70961.

It is an arithmetic number, because the mean of its divisors is an integer number (434340).

Almost surely, 216082496 is an apocalyptic number.

16082496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24323040).

16082496 is an abundant number, since it is smaller than the sum of its proper divisors (32563584).

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

16082496 is a wasteful number, since it uses less digits than its factorization.

16082496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16082496 is about 4010.2987419892. The cubic root of 16082496 is about 252.4165446512.

The spelling of 16082496 in words is "sixteen million, eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 227 246 288 328 369 432 454 492 576 656 681 738 864 908 984 1107 1312 1362 1476 1728 1816 1968 2043 2214 2624 2724 2952 3632 3936 4086 4428 5448 5904 6129 7264 7872 8172 8856 9307 10896 11808 12258 14528 16344 17712 18614 21792 23616 24516 27921 32688 35424 37228 43584 49032 55842 65376 70848 74456 83763 98064 111684 130752 148912 167526 196128 223368 251289 297824 335052 392256 446736 502578 595648 670104 893472 1005156 1340208 1786944 2010312 2680416 4020624 5360832 8041248 16082496