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44226126 = 23272411223
BaseRepresentation
bin1010100010110…
…1011001001110
310002012220211200
42220231121032
542310214001
64215530330
71044626100
oct250553116
9102186750
1044226126
1122a6781a
12129899a6
139216309
145c33570
153d39086
hex2a2d64e

44226126 has 72 divisors (see below), whose sum is σ = 114279984. Its totient is φ = 12317760.

The previous prime is 44226103. The next prime is 44226157. The reversal of 44226126 is 62162244.

44226126 is a `hidden beast` number, since 4 + 42 + 2 + 612 + 6 = 666.

44226126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 44226126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35551 + ... + 36773.

It is an arithmetic number, because the mean of its divisors is an integer number (1587222).

Almost surely, 244226126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44226126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139992).

44226126 is an abundant number, since it is smaller than the sum of its proper divisors (70053858).

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

44226126 is a wasteful number, since it uses less digits than its factorization.

44226126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1276 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 44226126 is about 6650.2726259906. The cubic root of 44226126 is about 353.6385758693.

The spelling of 44226126 in words is "forty-four million, two hundred twenty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1223 1722 2009 2446 2583 3669 4018 5166 6027 7338 8561 11007 12054 17122 18081 22014 25683 36162 50143 51366 59927 77049 100286 119854 150429 154098 179781 300858 351001 359562 451287 539343 702002 902574 1053003 1078686 2106006 2457007 3159009 4914014 6318018 7371021 14742042 22113063 44226126