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16424382 = 23132953137
BaseRepresentation
bin111110101001…
…110110111110
31010220110000110
4332221312332
513201040012
61344010450
7256414332
oct76516676
933813013
1016424382
1192a8977
125600a26
133530a90
1422777c2
15169673c
hexfa9dbe

16424382 has 64 divisors (see below), whose sum is σ = 37558080. Its totient is φ = 4752384.

The previous prime is 16424377. The next prime is 16424383. The reversal of 16424382 is 28342461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16424383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119818 + ... + 119954.

It is an arithmetic number, because the mean of its divisors is an integer number (586845).

Almost surely, 216424382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16424382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779040).

16424382 is an abundant number, since it is smaller than the sum of its proper divisors (21133698).

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

16424382 is a wasteful number, since it uses less digits than its factorization.

16424382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237.

The product of its digits is 9216, while the sum is 30.

The square root of 16424382 is about 4052.7005810940. The cubic root of 16424382 is about 254.1926638761.

The spelling of 16424382 in words is "sixteen million, four hundred twenty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 13 26 29 39 53 58 78 87 106 137 159 174 274 318 377 411 689 754 822 1131 1378 1537 1781 2067 2262 3074 3562 3973 4134 4611 5343 7261 7946 9222 10686 11919 14522 19981 21783 23838 39962 43566 51649 59943 94393 103298 119886 154947 188786 210569 283179 309894 421138 566358 631707 1263414 2737397 5474794 8212191 16424382