Search a number
-
+
2568745530 = 2325134153549
BaseRepresentation
bin1001100100011011…
…1111001000111010
320122000112210102100
42121012333020322
520230044324110
61102521044230
7120440656011
oct23106771072
96560483370
102568745530
1110a8a9859a
125b8326676
1331c24bc90
141a5227a78
151007a9bc0
hex991bf23a

2568745530 has 96 divisors (see below), whose sum is σ = 7368051600. Its totient is φ = 616872960.

The previous prime is 2568745523. The next prime is 2568745549. The reversal of 2568745530 is 355478652.

2568745530 is a `hidden beast` number, since 2 + 568 + 7 + 4 + 55 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34327881 + 2534417649 = 5859^2 + 50343^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 21196 + ... + 74744.

Almost surely, 22568745530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2568745530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684025800).

2568745530 is an abundant number, since it is smaller than the sum of its proper divisors (4799306070).

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

2568745530 is a wasteful number, since it uses less digits than its factorization.

2568745530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53616 (or 53613 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2568745530 is about 50682.7932339961. The cubic root of 2568745530 is about 1369.5367624165.

It can be divided in two parts, 25687 and 45530, that added together give a palindrome (71217).

The spelling of 2568745530 in words is "two billion, five hundred sixty-eight million, seven hundred forty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 234 246 369 390 410 533 585 615 738 1066 1170 1230 1599 1845 2665 3198 3690 4797 5330 7995 9594 15990 23985 47970 53549 107098 160647 267745 321294 481941 535490 696137 803235 963882 1392274 1606470 2088411 2195509 2409705 3480685 4176822 4391018 4819410 6265233 6586527 6961370 10442055 10977545 12530466 13173054 19759581 20884110 21955090 28541617 31326165 32932635 39519162 57083234 62652330 65865270 85624851 98797905 142708085 171249702 197595810 256874553 285416170 428124255 513749106 856248510 1284372765 2568745530