Search a number
-
+
4252415652 = 2233612932203
BaseRepresentation
bin1111110101110110…
…1011011010100100
3101222100200002122000
43331131223122210
532202104300102
61541544005300
7210243636162
oct37535533244
911870602560
104252415652
111892417901
129a8160830
13529ccb7a4
142c4a9c232
1519d4d501c
hexfd76b6a4

4252415652 has 96 divisors (see below), whose sum is σ = 11248863360. Its totient is φ = 1388845440.

The previous prime is 4252415647. The next prime is 4252415681. The reversal of 4252415652 is 2565142524.

4252415652 is a `hidden beast` number, since 4 + 2 + 52 + 41 + 565 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1929183 + ... + 1931385.

It is an arithmetic number, because the mean of its divisors is an integer number (117175660).

Almost surely, 24252415652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4252415652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624431680).

4252415652 is an abundant number, since it is smaller than the sum of its proper divisors (6996447708).

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

4252415652 is a wasteful number, since it uses less digits than its factorization.

4252415652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2562 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 4252415652 is about 65210.5486252033. The cubic root of 4252415652 is about 1620.1127356388.

It can be divided in two parts, 4252 and 415652, that added together give a square (419904 = 6482).

The spelling of 4252415652 in words is "four billion, two hundred fifty-two million, four hundred fifteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 293 366 549 586 732 879 1098 1172 1647 1758 2196 2203 2637 3294 3516 4406 5274 6588 6609 7911 8812 10548 13218 15822 17873 19827 26436 31644 35746 39654 53619 59481 71492 79308 107238 118962 134383 160857 214476 237924 268766 321714 403149 482571 537532 643428 645479 806298 965142 1209447 1290958 1612596 1930284 1936437 2418894 2581916 3628341 3872874 4837788 5809311 7256682 7745748 11618622 14513364 17427933 23237244 34855866 39374219 69711732 78748438 118122657 157496876 236245314 354367971 472490628 708735942 1063103913 1417471884 2126207826 4252415652