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16424256 = 263131653
BaseRepresentation
bin111110101001…
…110101000000
31010220102211210
4332221311000
513201034011
61344010120
7256414062
oct76516500
933812753
1016424256
1192a8872
125600940
1335309c4
142277732
1516966a6
hexfa9d40

16424256 has 56 divisors (see below), whose sum is σ = 43854624. Its totient is φ = 5424640.

The previous prime is 16424251. The next prime is 16424267. The reversal of 16424256 is 65242461.

16424256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16424251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24826 + ... + 25478.

Almost surely, 216424256 is an apocalyptic number.

16424256 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 16424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21927312).

16424256 is an abundant number, since it is smaller than the sum of its proper divisors (27430368).

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

16424256 is a wasteful number, since it uses less digits than its factorization.

16424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 789 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 16424256 is about 4052.6850358744. The cubic root of 16424256 is about 254.1920138596.

The spelling of 16424256 in words is "sixteen million, four hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 653 786 1048 1306 1572 1959 2096 2612 3144 3918 4192 5224 6288 7836 8384 10448 12576 15672 20896 25152 31344 41792 62688 85543 125376 171086 256629 342172 513258 684344 1026516 1368688 2053032 2737376 4106064 5474752 8212128 16424256