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16289792 = 2124197
BaseRepresentation
bin111110001001…
…000000000000
31010122121101122
4332021000000
513132233132
61341051412
7255314051
oct76110000
933577348
1016289792
119216842
125556b68
1334b473c
142240728
15166b912
hexf89000

16289792 has 52 divisors (see below), whose sum is σ = 33714156. Its totient is φ = 7864320.

The previous prime is 16289789. The next prime is 16289797. The reversal of 16289792 is 29798261.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3444736 + 12845056 = 1856^2 + 3584^2 .

Its product of digits (108864) is a multiple of the sum of its prime factors (162).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (16289797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167888 + ... + 167984.

Almost surely, 216289792 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 16289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857078).

16289792 is an abundant number, since it is smaller than the sum of its proper divisors (17424364).

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

16289792 is an frugal number, since it uses more digits than its factorization.

16289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its digits is 108864, while the sum is 44.

The square root of 16289792 is about 4036.0614465095. The cubic root of 16289792 is about 253.4964292946.

The spelling of 16289792 in words is "sixteen million, two hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 64 82 97 128 164 194 256 328 388 512 656 776 1024 1312 1552 2048 2624 3104 3977 4096 5248 6208 7954 10496 12416 15908 20992 24832 31816 41984 49664 63632 83968 99328 127264 167936 198656 254528 397312 509056 1018112 2036224 4072448 8144896 16289792