Search a number
-
+
5755231040 = 265135932333
BaseRepresentation
bin1010101110000100…
…11101101101000000
3112212002111000210012
411113002131231000
543241314343130
62351030324052
7262422441146
oct52702355500
915762430705
105755231040
112493750299
1211474b9628
13709468370
143c84d5596
1523a3d8995
hex15709db40

5755231040 has 112 divisors (see below), whose sum is σ = 14790072528. Its totient is φ = 2120515584.

The previous prime is 5755231033. The next prime is 5755231121. The reversal of 5755231040 is 401325575.

It can be written as a sum of positive squares in 8 ways, for example, as 465869056 + 5289361984 = 21584^2 + 72728^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5755230988 and 5755231006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2465714 + ... + 2468046.

It is an arithmetic number, because the mean of its divisors is an integer number (132054219).

Almost surely, 25755231040 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 5755231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395036264).

5755231040 is an abundant number, since it is smaller than the sum of its proper divisors (9034841488).

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

5755231040 is a wasteful number, since it uses less digits than its factorization.

5755231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 5755231040 is about 75863.2390555531. The cubic root of 5755231040 is about 1792.0670481397.

The spelling of 5755231040 in words is "five billion, seven hundred fifty-five million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 593 832 1040 1186 2080 2333 2372 2965 4160 4666 4744 5930 7709 9332 9488 11665 11860 15418 18664 18976 23330 23720 30329 30836 37328 37952 38545 46660 47440 60658 61672 74656 77090 93320 94880 121316 123344 149312 151645 154180 186640 189760 242632 246688 303290 308360 373280 485264 493376 606580 616720 746560 970528 1213160 1233440 1383469 1941056 2426320 2466880 2766938 4852640 5533876 6917345 9705280 11067752 13834690 17985097 22135504 27669380 35970194 44271008 55338760 71940388 88542016 89925485 110677520 143880776 179850970 221355040 287761552 359701940 442710080 575523104 719403880 1151046208 1438807760 2877615520 5755231040