Search a number
-
+
4042233320 = 235618771889
BaseRepresentation
bin1111000011101111…
…1001010111101000
3101102201011201200012
43300323321113220
531234302431240
61505035031052
7202112262536
oct36073712750
911381151605
104042233320
11179480a7a4
1294989b488
134c55ba948
142a4bc9156
15189d18b65
hexf0ef95e8

4042233320 has 64 divisors (see below), whose sum is σ = 9259563600. Its totient is φ = 1587732480.

The previous prime is 4042233287. The next prime is 4042233329. The reversal of 4042233320 is 233322404.

It can be written as a sum of positive squares in 8 ways, for example, as 1258404676 + 2783828644 = 35474^2 + 52762^2 .

It is not an unprimeable number, because it can be changed into a prime (4042233329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2138936 + ... + 2140824.

Almost surely, 24042233320 is an apocalyptic number.

4042233320 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 4042233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629781800).

4042233320 is an abundant number, since it is smaller than the sum of its proper divisors (5217330280).

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

4042233320 is a wasteful number, since it uses less digits than its factorization.

4042233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 4042233320 is about 63578.5602227669. The cubic root of 4042233320 is about 1592.9682722327.

Adding to 4042233320 its reverse (233322404), we get a palindrome (4275555724).

The spelling of 4042233320 in words is "four billion, forty-two million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 877 1220 1754 1889 2440 3508 3778 4385 7016 7556 8770 9445 15112 17540 18890 35080 37780 53497 75560 106994 115229 213988 230458 267485 427976 460916 534970 576145 921832 1069940 1152290 1656653 2139880 2304580 3313306 4609160 6626612 8283265 13253224 16566530 33133060 66266120 101055833 202111666 404223332 505279165 808446664 1010558330 2021116660 4042233320