Search a number
-
+
5784908240 = 245174253609
BaseRepresentation
bin1010110001100111…
…01011000111010000
3112221011022210020202
411120303223013100
543321414030430
62354010354332
7263232623456
oct53063530720
915834283222
105784908240
1124a9480201
12115542b9a8
13712659437
143cc41c9d6
1523ccebd45
hex158ceb1d0

5784908240 has 40 divisors (see below), whose sum is σ = 14241086280. Its totient is φ = 2177847296.

The previous prime is 5784908231. The next prime is 5784908249. The reversal of 5784908240 is 428094875.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5784908231) and next prime (5784908249).

It can be written as a sum of positive squares in 4 ways, for example, as 798853696 + 4986054544 = 28264^2 + 70612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5784908249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2125445 + ... + 2128164.

It is an arithmetic number, because the mean of its divisors is an integer number (356027157).

Almost surely, 25784908240 is an apocalyptic number.

It is an amenable number.

5784908240 is an abundant number, since it is smaller than the sum of its proper divisors (8456178040).

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

5784908240 is a wasteful number, since it uses less digits than its factorization.

5784908240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253639 (or 4253633 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 5784908240 is about 76058.5842623960. The cubic root of 5784908240 is about 1795.1420696930.

The spelling of 5784908240 in words is "five billion, seven hundred eighty-four million, nine hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 4253609 8507218 17014436 21268045 34028872 42536090 68057744 72311353 85072180 144622706 170144360 289245412 340288720 361556765 578490824 723113530 1156981648 1446227060 2892454120 5784908240