Search a number
-
+
5243435040 = 253511396671
BaseRepresentation
bin1001110001000100…
…00111100000100000
3111112102110002122210
410320202013200200
541214304410130
62224145002120
7243636314424
oct47042074040
914472402583
105243435040
112250867398
121024023340
136574130ac
1437a54cb84
1520a4e05b0
hex138887820

5243435040 has 96 divisors (see below), whose sum is σ = 16663159296. Its totient is φ = 1385861120.

The previous prime is 5243435039. The next prime is 5243435053. The reversal of 5243435040 is 405343425.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×52434350402 = 54987222037399603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5243434989 and 5243435007.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5905 + ... + 102575.

It is an arithmetic number, because the mean of its divisors is an integer number (173574576).

Almost surely, 25243435040 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 5243435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331579648).

5243435040 is an abundant number, since it is smaller than the sum of its proper divisors (11419724256).

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

5243435040 is a wasteful number, since it uses less digits than its factorization.

5243435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96802 (or 96794 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 5243435040 is about 72411.5670317940. The cubic root of 5243435040 is about 1737.2885765898.

Adding to 5243435040 its reverse (405343425), we get a palindrome (5648778465).

The spelling of 5243435040 in words is "five billion, two hundred forty-three million, four hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 4520 5424 6780 9040 10848 13560 18080 27120 54240 96671 193342 290013 386684 483355 580026 773368 966710 1160052 1450065 1546736 1933420 2320104 2900130 3093472 3866840 4640208 5800260 7733680 9280416 10923823 11600520 15467360 21847646 23201040 32771469 43695292 46402080 54619115 65542938 87390584 109238230 131085876 163857345 174781168 218476460 262171752 327714690 349562336 436952920 524343504 655429380 873905840 1048687008 1310858760 1747811680 2621717520 5243435040