Search a number
-
+
2845755264 = 27311838117
BaseRepresentation
bin1010100110011110…
…1100011110000000
321100022210100100010
42221213230132000
521312003132024
61150214224520
7130343343402
oct25147543600
97308710303
102845755264
11123039a060
12675055140
1336475a571
141cdd34b72
15119c76b29
hexa99ec780

2845755264 has 128 divisors (see below), whose sum is σ = 8346602880. Its totient is φ = 851855360.

The previous prime is 2845755259. The next prime is 2845755271. The reversal of 2845755264 is 4625575482.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 346534 + ... + 354650.

It is an arithmetic number, because the mean of its divisors is an integer number (65207835).

Almost surely, 22845755264 is an apocalyptic number.

2845755264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2845755264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173301440).

2845755264 is an abundant number, since it is smaller than the sum of its proper divisors (5500847616).

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

2845755264 is a wasteful number, since it uses less digits than its factorization.

2845755264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8216 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 48.

The square root of 2845755264 is about 53345.6208512001. The cubic root of 2845755264 is about 1417.0957078238.

The spelling of 2845755264 in words is "two billion, eight hundred forty-five million, seven hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 128 132 166 176 192 249 264 332 352 384 498 528 664 704 913 996 1056 1328 1408 1826 1992 2112 2656 2739 3652 3984 4224 5312 5478 7304 7968 8117 10624 10956 14608 15936 16234 21912 24351 29216 31872 32468 43824 48702 58432 64936 87648 89287 97404 116864 129872 175296 178574 194808 259744 267861 350592 357148 389616 519488 535722 673711 714296 779232 1038976 1071444 1347422 1428592 1558464 2021133 2142888 2694844 2857184 3116928 4042266 4285776 5389688 5714368 7410821 8084532 8571552 10779376 11428736 14821642 16169064 17143104 21558752 22232463 29643284 32338128 34286208 43117504 44464926 59286568 64676256 86235008 88929852 118573136 129352512 177859704 237146272 258705024 355719408 474292544 711438816 948585088 1422877632 2845755264