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2756048341 = 37277268909
BaseRepresentation
bin1010010001000101…
…1111010111010101
321010001222202120111
42210101133113111
521121022021331
61133251403021
7125204011234
oct24421372725
97101882514
102756048341
111194798a02
1264abb3471
1334bcabb47
141c2062b1b
15111e56db1
hexa445f5d5

2756048341 has 8 divisors (see below), whose sum is σ = 2840765240. Its totient is φ = 2671869888.

The previous prime is 2756048333. The next prime is 2756048387. The reversal of 2756048341 is 1438406572.

It can be written as a sum of positive squares in 4 ways, for example, as 17724100 + 2738324241 = 4210^2 + 52329^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2756048341 - 23 = 2756048333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2756048294 and 2756048303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756048441) 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 7 ways as a sum of consecutive naturals, for example, 124206 + ... + 144703.

It is an arithmetic number, because the mean of its divisors is an integer number (355095655).

Almost surely, 22756048341 is an apocalyptic number.

It is an amenable number.

2756048341 is a deficient number, since it is larger than the sum of its proper divisors (84716899).

2756048341 is a wasteful number, since it uses less digits than its factorization.

2756048341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269223.

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 2756048341 is about 52498.0794029648. The cubic root of 2756048341 is about 1402.0460459113.

The spelling of 2756048341 in words is "two billion, seven hundred fifty-six million, forty-eight thousand, three hundred forty-one".

Divisors: 1 37 277 10249 268909 9949633 74487793 2756048341