Search a number
-
+
4451426010 = 2335532771123
BaseRepresentation
bin1000010010101001…
…10101111011011010
3102111020010212112000
410021110311323122
533104031113020
62013413301430
7215211332253
oct41124657332
912436125460
104451426010
111984794279
12a42934876
1355c2ca4b5
143032a3b2a
151b0be6090
hex109535eda

4451426010 has 128 divisors (see below), whose sum is σ = 12148911360. Its totient is φ = 1159411968.

The previous prime is 4451426009. The next prime is 4451426029. The reversal of 4451426010 is 106241544.

4451426010 is a `hidden beast` number, since 4 + 4 + 51 + 4 + 2 + 601 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 3963309 + ... + 3964431.

It is an arithmetic number, because the mean of its divisors is an integer number (94913370).

Almost surely, 24451426010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4451426010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074455680).

4451426010 is an abundant number, since it is smaller than the sum of its proper divisors (7697485350).

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

4451426010 is a wasteful number, since it uses less digits than its factorization.

4451426010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4451426010 is about 66719.0078613284. The cubic root of 4451426010 is about 1645.0018335607.

Adding to 4451426010 its reverse (106241544), we get a palindrome (4557667554).

The spelling of 4451426010 in words is "four billion, four hundred fifty-one million, four hundred twenty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 277 318 477 530 554 795 831 954 1123 1385 1431 1590 1662 2246 2385 2493 2770 2862 3369 4155 4770 4986 5615 6738 7155 7479 8310 10107 11230 12465 14310 14681 14958 16845 20214 24930 29362 30321 33690 37395 44043 50535 59519 60642 73405 74790 88086 101070 119038 132129 146810 151605 178557 220215 264258 297595 303210 311071 357114 396387 440430 535671 595190 622142 660645 792774 892785 933213 1071342 1321290 1555355 1607013 1785570 1866426 1981935 2678355 2799639 3110710 3214026 3963870 4666065 5356710 5599278 8035065 8398917 9332130 13998195 16070130 16486763 16797834 27996390 32973526 41994585 49460289 82433815 83989170 98920578 148380867 164867630 247301445 296761734 445142601 494602890 741904335 890285202 1483808670 2225713005 4451426010