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4265856 = 27327232
BaseRepresentation
bin10000010001011110000000
322000201122200
4100101132000
52043001411
6231233200
751154620
oct20213600
98021580
104265856
112454001
121518800
13b6489a
147d0880
15593e56
hex411780

4265856 has 144 divisors (see below), whose sum is σ = 14665560. Its totient is φ = 1165824.

The previous prime is 4265843. The next prime is 4265881. The reversal of 4265856 is 6585624.

4265856 = 762 + 772 + ... + 2362.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4265856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 185461 + ... + 185483.

Almost surely, 24265856 is an apocalyptic number.

4265856 is a gapful number since it is divisible by the number (46) 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 4265856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332780).

4265856 is an abundant number, since it is smaller than the sum of its proper divisors (10399704).

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

4265856 is a wasteful number, since it uses less digits than its factorization.

4265856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 35 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 4265856 is about 2065.3948774992. The cubic root of 4265856 is about 162.1817804013.

The spelling of 4265856 in words is "four million, two hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 64 69 72 84 92 96 112 126 128 138 144 161 168 184 192 207 224 252 276 288 322 336 368 384 414 448 483 504 529 552 576 644 672 736 828 896 966 1008 1058 1104 1152 1288 1344 1449 1472 1587 1656 1932 2016 2116 2208 2576 2688 2898 2944 3174 3312 3703 3864 4032 4232 4416 4761 5152 5796 6348 6624 7406 7728 8064 8464 8832 9522 10304 11109 11592 12696 13248 14812 15456 16928 19044 20608 22218 23184 25392 26496 29624 30912 33327 33856 38088 44436 46368 50784 59248 61824 66654 67712 76176 88872 92736 101568 118496 133308 152352 177744 185472 203136 236992 266616 304704 355488 473984 533232 609408 710976 1066464 1421952 2132928 4265856