Search a number
-
+
4444433240 = 2351343319739
BaseRepresentation
bin1000010001110100…
…01010101101011000
3102110201222121020112
410020322022231120
533100233330430
62013003343452
7215065026212
oct41072125530
912421877215
104444433240
111980848525
12a40521b88
1355aa1c670
143023a35b2
151b02b4195
hex108e8ab58

4444433240 has 64 divisors (see below), whose sum is σ = 10794621600. Its totient is φ = 1637148672.

The previous prime is 4444433237. The next prime is 4444433249. The reversal of 4444433240 is 423344444.

It is a junction number, because it is equal to n+sod(n) for n = 4444433197 and 4444433206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444433249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215291 + ... + 235029.

Almost surely, 24444433240 is an apocalyptic number.

4444433240 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 4444433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397310800).

4444433240 is an abundant number, since it is smaller than the sum of its proper divisors (6350188360).

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

4444433240 is a wasteful number, since it uses less digits than its factorization.

4444433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20196 (or 20192 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

The square root of 4444433240 is about 66666.5826332804. The cubic root of 4444433240 is about 1644.1400012590.

Adding to 4444433240 its reverse (423344444), we get a palindrome (4867777684).

The spelling of 4444433240 in words is "four billion, four hundred forty-four million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 433 520 866 1732 2165 3464 4330 5629 8660 11258 17320 19739 22516 28145 39478 45032 56290 78956 98695 112580 157912 197390 225160 256607 394780 513214 789560 1026428 1283035 2052856 2566070 5132140 8546987 10264280 17093974 34187948 42734935 68375896 85469870 111110831 170939740 222221662 341879480 444443324 555554155 888886648 1111108310 2222216620 4444433240