Search a number
-
+
4085963550 = 2325223113929
BaseRepresentation
bin1111001110001010…
…1101101100011110
3101112202110110021100
43303202231230132
531332001313200
61513240213530
7203153055114
oct36342555436
911482413240
104085963550
111807468989
1296046a2a6
1350168c316
142aa92dab4
1518daa5d00
hexf38adb1e

4085963550 has 72 divisors (see below), whose sum is σ = 10985167440. Its totient is φ = 1088841600.

The previous prime is 4085963537. The next prime is 4085963551. The reversal of 4085963550 is 553695804.

4085963550 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 9 + 635 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 4085963496 and 4085963505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085963551) 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 35 ways as a sum of consecutive naturals, for example, 1037986 + ... + 1041914.

It is an arithmetic number, because the mean of its divisors is an integer number (152571770).

Almost surely, 24085963550 is an apocalyptic number.

4085963550 is an abundant number, since it is smaller than the sum of its proper divisors (6899203890).

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

4085963550 is a wasteful number, since it uses less digits than its factorization.

4085963550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 4085963550 is about 63921.5421434746. The cubic root of 4085963550 is about 1598.6921017406.

The spelling of 4085963550 in words is "four billion, eighty-five million, nine hundred sixty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2311 3929 4622 6933 7858 11555 11787 13866 19645 20799 23110 23574 34665 35361 39290 41598 57775 58935 69330 70722 98225 103995 115550 117870 173325 176805 196450 207990 294675 346650 353610 519975 589350 884025 1039950 1768050 9079919 18159838 27239757 45399595 54479514 81719271 90799190 136198785 163438542 226997975 272397570 408596355 453995950 680993925 817192710 1361987850 2042981775 4085963550