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4426000 = 24532213
BaseRepresentation
bin10000111000100100010000
322022212022221
4100320210100
52113113000
6234510424
752422535
oct20704420
98285287
104426000
112553357
121595414
13bbc747
14832d8c
155c661a
hex438910

4426000 has 40 divisors (see below), whose sum is σ = 10706904. Its totient is φ = 1769600.

The previous prime is 4425997. The next prime is 4426007. The reversal of 4426000 is 6244.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 4343056 = 288^2 + 2084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426007) 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, 894 + ... + 3106.

Almost surely, 24426000 is an apocalyptic number.

4426000 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 4426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353452).

4426000 is an abundant number, since it is smaller than the sum of its proper divisors (6280904).

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

4426000 is a wasteful number, since it uses less digits than its factorization.

4426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4426000 is about 2103.8060747132. The cubic root of 4426000 is about 164.1863833786.

The spelling of 4426000 in words is "four million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2213 4426 8852 11065 17704 22130 35408 44260 55325 88520 110650 177040 221300 276625 442600 553250 885200 1106500 2213000 4426000