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4226256 = 24351087
BaseRepresentation
bin10000000111110011010000
321221201100000
4100013303100
52040220011
6230330000
750631306
oct20076320
97851300
104226256
112427281
1214b9900
13b4c858
147c0276
15587356
hex407cd0

4226256 has 60 divisors (see below), whose sum is σ = 12276992. Its totient is φ = 1407456.

The previous prime is 4226249. The next prime is 4226279. The reversal of 4226256 is 6526224.

It is a super-2 number, since 2×42262562 = 35722479555072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3345 + ... + 4431.

Almost surely, 24226256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138496).

4226256 is an abundant number, since it is smaller than the sum of its proper divisors (8050736).

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

4226256 is a wasteful number, since it uses less digits than its factorization.

4226256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1092 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4226256 is about 2055.7859810788. The cubic root of 4226256 is about 161.6783742304.

Subtracting 4226256 from its reverse (6526224), we obtain a cube (2299968 = 1323).

The spelling of 4226256 in words is "four million, two hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1087 1296 1944 2174 3261 3888 4348 6522 8696 9783 13044 17392 19566 26088 29349 39132 52176 58698 78264 88047 117396 156528 176094 234792 264141 352188 469584 528282 704376 1056564 1408752 2113128 4226256