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2276842848 = 253714292371
BaseRepresentation
bin1000011110110101…
…1101110101100000
312212200021121012220
42013231131311200
514130332432343
61013532351040
7110264562540
oct20755356540
95780247186
102276842848
11a69244805
12536615480
132a39279b7
14178561320
15d4d4a183
hex87b5dd60

2276842848 has 96 divisors (see below), whose sum is σ = 6838191360. Its totient is φ = 649797120.

The previous prime is 2276842831. The next prime is 2276842849. The reversal of 2276842848 is 8482486722.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22768428482 = 10368026708977502208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2276842848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2276842849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 959103 + ... + 961473.

It is an arithmetic number, because the mean of its divisors is an integer number (71231160).

Almost surely, 22276842848 is an apocalyptic number.

2276842848 is a gapful number since it is divisible by the number (28) 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 2276842848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419095680).

2276842848 is an abundant number, since it is smaller than the sum of its proper divisors (4561348512).

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

2276842848 is a wasteful number, since it uses less digits than its factorization.

2276842848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3812 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The square root of 2276842848 is about 47716.2744564158. The cubic root of 2276842848 is about 1315.5610858177.

The spelling of 2276842848 in words is "two billion, two hundred seventy-six million, eight hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1429 2371 2858 4287 4742 5716 7113 8574 9484 10003 11432 14226 16597 17148 18968 20006 22864 28452 30009 33194 34296 37936 40012 45728 49791 56904 60018 66388 68592 75872 80024 99582 113808 120036 132776 137184 160048 199164 227616 240072 265552 320096 398328 480144 531104 796656 960288 1593312 3388159 6776318 10164477 13552636 20328954 23717113 27105272 40657908 47434226 54210544 71151339 81315816 94868452 108421088 142302678 162631632 189736904 284605356 325263264 379473808 569210712 758947616 1138421424 2276842848