Search a number
-
+
4753441242 = 23211191263541
BaseRepresentation
bin1000110110101001…
…11100000111011010
3110021021102211112100
410123110330013122
534213340104432
62103402424230
7225536404164
oct43324740732
913237384470
104753441242
11201a214840
12b07b02076
135a9a52634
1433143d934
151cc4a207c
hex11b53c1da

4753441242 has 48 divisors (see below), whose sum is σ = 11826753120. Its totient is φ = 1364623200.

The previous prime is 4753441207. The next prime is 4753441289. The reversal of 4753441242 is 2421443574.

4753441242 is a `hidden beast` number, since 4 + 75 + 344 + 1 + 242 = 666.

It is a super-2 number, since 2×47534412422 = 45190407282293005128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4753441197 and 4753441206.

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 23 ways as a sum of consecutive naturals, for example, 628009 + ... + 635532.

It is an arithmetic number, because the mean of its divisors is an integer number (246390690).

Almost surely, 24753441242 is an apocalyptic number.

4753441242 is an abundant number, since it is smaller than the sum of its proper divisors (7073311878).

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

4753441242 is a wasteful number, since it uses less digits than its factorization.

4753441242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263579 (or 1263576 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 4753441242 is about 68945.2046338250. The cubic root of 4753441242 is about 1681.3935482487.

The spelling of 4753441242 in words is "four billion, seven hundred fifty-three million, four hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 1263541 2527082 3790623 7581246 11371869 13898951 22743738 24007279 27797902 41696853 48014558 72021837 83393706 125090559 144043674 216065511 250181118 264080069 432131022 528160138 792240207 1584480414 2376720621 4753441242