Search a number
-
+
2775796992 = 28331723623
BaseRepresentation
bin1010010101110011…
…0100110100000000
321011110011002122000
42211130310310000
521141101000432
61135234544000
7125533612413
oct24534646400
97143132560
102775796992
1111a4957401
12655738000
13353104a37
141c4923b7a
15113a5857c
hexa5734d00

2775796992 has 144 divisors (see below), whose sum is σ = 8691742080. Its totient is φ = 870801408.

The previous prime is 2775796979. The next prime is 2775796999. The reversal of 2775796992 is 2996975772.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2775796999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105693 + ... + 129315.

It is an arithmetic number, because the mean of its divisors is an integer number (60359320).

Almost surely, 22775796992 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 2775796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345871040).

2775796992 is an abundant number, since it is smaller than the sum of its proper divisors (5915945088).

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

2775796992 is a wasteful number, since it uses less digits than its factorization.

2775796992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23665 (or 23645 counting only the distinct ones).

The product of its digits is 30005640, while the sum is 63.

The square root of 2775796992 is about 52685.8329344806. The cubic root of 2775796992 is about 1405.3868974979.

The spelling of 2775796992 in words is "two billion, seven hundred seventy-five million, seven hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4896 6528 6912 7344 9792 13056 14688 19584 23623 29376 39168 47246 58752 70869 94492 117504 141738 188984 212607 283476 377968 401591 425214 566952 637821 755936 803182 850428 1133904 1204773 1275642 1511872 1606364 1700856 2267808 2409546 2551284 3023744 3212728 3401712 3614319 4535616 4819092 5102568 6047488 6425456 6803424 7228638 9071232 9638184 10205136 10842957 12850912 13606848 14457276 18142464 19276368 20410272 21685914 25701824 27213696 28914552 38552736 40820544 43371828 51403648 54427392 57829104 77105472 81641088 86743656 102807296 115658208 154210944 163282176 173487312 231316416 308421888 346974624 462632832 693949248 925265664 1387898496 2775796992