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16492 = 2271931
BaseRepresentation
bin100000001101100
3211121211
410001230
51011432
6204204
766040
oct40154
924554
1016492
1111433
129664
137678
146020
154d47
hex406c

16492 has 24 divisors (see below), whose sum is σ = 35840. Its totient is φ = 6480.

The previous prime is 16487. The next prime is 16493. The reversal of 16492 is 29461.

It can be divided in two parts, 164 and 92, that added together give a 8-th power (256 = 28).

16492 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517 + ... + 547.

216492 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 16492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17920).

16492 is an abundant number, since it is smaller than the sum of its proper divisors (19348).

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

16492 is a wasteful number, since it uses less digits than its factorization.

16492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 59 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 16492 is about 128.4211820534. The cubic root of 16492 is about 25.4541017239.

The spelling of 16492 in words is "sixteen thousand, four hundred ninety-two".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2356 4123 8246 16492