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4426906224 = 243138538317
BaseRepresentation
bin1000001111101110…
…10011101001110000
3102102112000010200210
410013313103221300
533031241444344
62011135544120
7214463040066
oct40767235160
912375003623
104426906224
111971967194
12a3668b040
135571c3a50
142ddd20036
151ad9a0db9
hex107dd3a70

4426906224 has 80 divisors (see below), whose sum is σ = 12331800992. Its totient is φ = 1360364544.

The previous prime is 4426906207. The next prime is 4426906241. The reversal of 4426906224 is 4226096244.

It is a Cunningham number, because it is equal to 665352-1.

It is an interprime number because it is at equal distance from previous prime (4426906207) and next prime (4426906241).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528114 + ... + 536430.

Almost surely, 24426906224 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 4426906224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165900496).

4426906224 is an abundant number, since it is smaller than the sum of its proper divisors (7904894768).

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

4426906224 is a wasteful number, since it uses less digits than its factorization.

4426906224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9194 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 4426906224 is about 66534.9999924852. Note that the first 5 decimals coincide. The cubic root of 4426906224 is about 1641.9758834076.

The spelling of 4426906224 in words is "four billion, four hundred twenty-six million, nine hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 853 1706 2559 3412 5118 6824 8317 10236 11089 13648 16634 20472 22178 24951 33267 33268 40944 44356 49902 66534 66536 88712 99804 108121 133068 133072 177424 199608 216242 266136 324363 399216 432484 532272 648726 864968 1297452 1729936 2594904 5189808 7094401 14188802 21283203 28377604 42566406 56755208 85132812 92227213 113510416 170265624 184454426 276681639 340531248 368908852 553363278 737817704 1106726556 1475635408 2213453112 4426906224