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16286436 = 2232452401
BaseRepresentation
bin111110001000…
…001011100100
31010122102210100
4332020023210
513132131221
61341024100
7255301215
oct76101344
933572710
1016286436
119214271
125555030
1334b305a
14223d40c
15166a926
hexf882e4

16286436 has 18 divisors (see below), whose sum is σ = 41168582. Its totient is φ = 5428800.

The previous prime is 16286411. The next prime is 16286437. The reversal of 16286436 is 63468261.

16286436 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 643 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 5788836 = 3240^2 + 2406^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 452401 = 16286436 / (1 + 6 + 2 + 8 + 6 + 4 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 16286436.

It is not an unprimeable number, because it can be changed into a prime (16286437) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 226165 + ... + 226236.

Almost surely, 216286436 is an apocalyptic number.

It is an amenable number.

16286436 is an abundant number, since it is smaller than the sum of its proper divisors (24882146).

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

16286436 is a wasteful number, since it uses less digits than its factorization.

16286436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452411 (or 452406 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 16286436 is about 4035.6456732473. The cubic root of 16286436 is about 253.4790197732.

The spelling of 16286436 in words is "sixteen million, two hundred eighty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 452401 904802 1357203 1809604 2714406 4071609 5428812 8143218 16286436