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4135562442 = 2321122118999
BaseRepresentation
bin1111011001111111…
…1010110011001010
3101200012210100011100
43312133322303022
531432200444232
61522211242230
7204324462234
oct36637726312
911605710140
104135562442
111832465300
12974ba9376
1350ba36c8b
142b3361254
15193101c7c
hexf67facca

4135562442 has 72 divisors (see below), whose sum is σ = 9896796000. Its totient is φ = 1247122800.

The previous prime is 4135562441. The next prime is 4135562447. The reversal of 4135562442 is 2442655314.

4135562442 is a `hidden beast` number, since 41 + 3 + 556 + 24 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4135562397 and 4135562406.

It is not an unprimeable number, because it can be changed into a prime (4135562441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 455059 + ... + 464057.

It is an arithmetic number, because the mean of its divisors is an integer number (137455500).

Almost surely, 24135562442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135562442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948398000).

4135562442 is an abundant number, since it is smaller than the sum of its proper divisors (5761233558).

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

4135562442 is a wasteful number, since it uses less digits than its factorization.

4135562442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9226 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 4135562442 is about 64308.3388216489. The cubic root of 4135562442 is about 1605.1348627469.

The spelling of 4135562442 in words is "four billion, one hundred thirty-five million, five hundred sixty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 211 242 363 422 633 726 1089 1266 1899 2178 2321 3798 4642 6963 8999 13926 17998 20889 25531 26997 41778 51062 53994 76593 80991 98989 153186 161982 197978 229779 296967 459558 593934 890901 1088879 1781802 1898789 2177758 3266637 3797578 5696367 6533274 9799911 11392734 17089101 19599822 20886679 34178202 41773358 62660037 125320074 187980111 229753469 375960222 459506938 689260407 1378520814 2067781221 4135562442