Search a number
-
+
4055330430 = 2325437114759
BaseRepresentation
bin1111000110110111…
…0110111001111110
3101110121211010112100
43301231312321332
531301131033210
61510223445530
7202331511534
oct36155667176
911417733470
104055330430
1117a1145858
129521568a6
134c8225108
142a6838154
1518b0545c0
hexf1b76e7e

4055330430 has 96 divisors (see below), whose sum is σ = 10941765120. Its totient is φ = 1041324480.

The previous prime is 4055330393. The next prime is 4055330483. The reversal of 4055330430 is 340335504.

It is a happy number.

4055330430 is a `hidden beast` number, since 40 + 553 + 30 + 43 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4055330394 and 4055330403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267391 + ... + 282149.

It is an arithmetic number, because the mean of its divisors is an integer number (113976720).

Almost surely, 24055330430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4055330430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470882560).

4055330430 is an abundant number, since it is smaller than the sum of its proper divisors (6886434690).

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

4055330430 is a wasteful number, since it uses less digits than its factorization.

4055330430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14886 (or 14883 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 4055330430 is about 63681.4763490923. The cubic root of 4055330430 is about 1594.6868591867.

Adding to 4055330430 its reverse (340335504), we get a palindrome (4395665934).

The spelling of 4055330430 in words is "four billion, fifty-five million, three hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 71 86 90 129 142 213 215 258 355 387 426 430 639 645 710 774 1065 1278 1290 1935 2130 3053 3195 3870 6106 6390 9159 14759 15265 18318 27477 29518 30530 44277 45795 54954 73795 88554 91590 132831 137385 147590 221385 265662 274770 442770 634637 664155 1047889 1269274 1328310 1903911 2095778 3143667 3173185 3807822 5239445 5711733 6287334 6346370 9431001 9519555 10478890 11423466 15718335 18862002 19039110 28558665 31436670 45059227 47155005 57117330 90118454 94310010 135177681 225296135 270355362 405533043 450592270 675888405 811066086 1351776810 2027665215 4055330430