Search a number
-
+
5235541956 = 2232221365717
BaseRepresentation
bin1001110000001000…
…00000011111000100
3111111212121002101100
410320010000133010
541210244320311
62223303500100
7243512241501
oct47004003704
914455532340
105235541956
112247366187
121021457630
136558ab528
143794964a8
15209981a56
hex1381007c4

5235541956 has 36 divisors (see below), whose sum is σ = 13240468332. Its totient is φ = 1744365504.

The previous prime is 5235541951. The next prime is 5235541967. The reversal of 5235541956 is 6591455325.

5235541956 is a `hidden beast` number, since 5 + 2 + 3 + 554 + 1 + 95 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3878798400 + 1356743556 = 62280^2 + 36834^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (5235541951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46810 + ... + 112526.

It is an arithmetic number, because the mean of its divisors is an integer number (367790787).

Almost surely, 25235541956 is an apocalyptic number.

It is an amenable number.

5235541956 is an abundant number, since it is smaller than the sum of its proper divisors (8004926376).

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

5235541956 is a wasteful number, since it uses less digits than its factorization.

5235541956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67940 (or 67935 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 5235541956 is about 72357.0449645368. The cubic root of 5235541956 is about 1736.4164097148.

The spelling of 5235541956 in words is "five billion, two hundred thirty-five million, five hundred forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2213 4426 6639 8852 13278 19917 26556 39834 65717 79668 131434 197151 262868 394302 591453 788604 1182906 2365812 145431721 290863442 436295163 581726884 872590326 1308885489 1745180652 2617770978 5235541956