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16389648 = 2433113449
BaseRepresentation
bin111110100001…
…011000010000
31010211200101000
4332201120100
513143432043
61343142000
7256211142
oct76413020
933750330
1016389648
119284870
1255a4900
13351b022
142268c92
15168b2d3
hexfa1610

16389648 has 80 divisors (see below), whose sum is σ = 51336000. Its totient is φ = 4965120.

The previous prime is 16389643. The next prime is 16389673. The reversal of 16389648 is 84698361.

16389648 is a `hidden beast` number, since 1 + 638 + 9 + 6 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16389641) 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, 3028 + ... + 6476.

It is an arithmetic number, because the mean of its divisors is an integer number (641700).

Almost surely, 216389648 is an apocalyptic number.

16389648 is a gapful number since it is divisible by the number (18) 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 16389648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25668000).

16389648 is an abundant number, since it is smaller than the sum of its proper divisors (34946352).

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

16389648 is a wasteful number, since it uses less digits than its factorization.

16389648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3465 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 16389648 is about 4048.4130224077. The cubic root of 16389648 is about 254.0133499917.

The spelling of 16389648 in words is "sixteen million, three hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 3449 4752 6898 10347 13796 20694 27592 31041 37939 41388 55184 62082 75878 82776 93123 113817 124164 151756 165552 186246 227634 248328 303512 341451 372492 455268 496656 607024 682902 744984 910536 1024353 1365804 1489968 1821072 2048706 2731608 4097412 5463216 8194824 16389648