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16327242 = 23217229233
BaseRepresentation
bin111110010010…
…001001001010
31010201111202200
4332102021022
513134432432
61341541030
7255531201
oct76221112
933644680
1016327242
119241998
125574776
1334c87b9
142250238
151677a7c
hexf9224a

16327242 has 48 divisors (see below), whose sum is σ = 37781640. Its totient is φ = 5078016.

The previous prime is 16327187. The next prime is 16327243. The reversal of 16327242 is 24272361.

16327242 is a `hidden beast` number, since 1 + 632 + 7 + 24 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15992001 + 335241 = 3999^2 + 579^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16327243) 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 23 ways as a sum of consecutive naturals, for example, 69958 + ... + 70190.

Almost surely, 216327242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16327242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18890820).

16327242 is an abundant number, since it is smaller than the sum of its proper divisors (21454398).

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

16327242 is a wasteful number, since it uses less digits than its factorization.

16327242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 484 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 16327242 is about 4040.6982069934. The cubic root of 16327242 is about 253.6905421774.

The spelling of 16327242 in words is "sixteen million, three hundred twenty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 229 233 306 458 466 687 699 1374 1398 2061 2097 3893 3961 4122 4194 7786 7922 11679 11883 23358 23766 35037 35649 53357 70074 71298 106714 160071 320142 480213 907069 960426 1814138 2721207 5442414 8163621 16327242