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16426256 = 2471167199
BaseRepresentation
bin111110101010…
…010100010000
31010220112120212
4332222110100
513201120011
61344023252
7256422650
oct76522420
933815525
1016426256
1192aa320
125601b28
1335318a2
142278360
15169708b
hexfaa510

16426256 has 80 divisors (see below), whose sum is σ = 40473600. Its totient is φ = 6272640.

The previous prime is 16426253. The next prime is 16426259. The reversal of 16426256 is 65262461.

It is an interprime number because it is at equal distance from previous prime (16426253) and next prime (16426259).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16426253) 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 15 ways as a sum of consecutive naturals, for example, 82445 + ... + 82643.

It is an arithmetic number, because the mean of its divisors is an integer number (505920).

Almost surely, 216426256 is an apocalyptic number.

16426256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16426256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236800).

16426256 is an abundant number, since it is smaller than the sum of its proper divisors (24047344).

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

16426256 is a wasteful number, since it uses less digits than its factorization.

16426256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 16426256 is about 4052.9317783550. The cubic root of 16426256 is about 254.2023311893.

The spelling of 16426256 in words is "sixteen million, four hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 67 77 88 112 134 154 176 199 268 308 398 469 536 616 737 796 938 1072 1232 1393 1474 1592 1876 2189 2786 2948 3184 3752 4378 5159 5572 5896 7504 8756 10318 11144 11792 13333 15323 17512 20636 22288 26666 30646 35024 41272 53332 61292 82544 93331 106664 122584 146663 186662 213328 245168 293326 373324 586652 746648 1026641 1173304 1493296 2053282 2346608 4106564 8213128 16426256