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4256320 = 26547283
BaseRepresentation
bin10000001111001001000000
322000020120111
4100033021000
52042200240
6231121104
751115045
oct20171100
98006514
104256320
112447922
121513194
13b60443
147cb1cc
155911ea
hex40f240

4256320 has 56 divisors (see below), whose sum is σ = 10387584. Its totient is φ = 1660416.

The previous prime is 4256297. The next prime is 4256327. The reversal of 4256320 is 236524.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4256291 and 4256300.

It is not an unprimeable number, because it can be changed into a prime (4256327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14899 + ... + 15181.

Almost surely, 24256320 is an apocalyptic number.

4256320 is a gapful number since it is divisible by the number (40) 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 4256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193792).

4256320 is an abundant number, since it is smaller than the sum of its proper divisors (6131264).

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

4256320 is a wasteful number, since it uses less digits than its factorization.

4256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4256320 is about 2063.0850685321. The cubic root of 4256320 is about 162.0608418525.

The spelling of 4256320 in words is "four million, two hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 283 320 376 470 566 752 940 1132 1415 1504 1880 2264 2830 3008 3760 4528 5660 7520 9056 11320 13301 15040 18112 22640 26602 45280 53204 66505 90560 106408 133010 212816 266020 425632 532040 851264 1064080 2128160 4256320