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2678787049 = 7327092
BaseRepresentation
bin1001111110101011…
…0000101111101001
320220200121111000011
42133222300233221
520441232141144
61121451411521
7123245212531
oct23752605751
96820544004
102678787049
1111551183a4
12629153ba1
13338c9a1c3
141b5ab04c1
1510a294a34
hex9fab0be9

2678787049 has 9 divisors (see below), whose sum is σ = 2719821573. Its totient is φ = 2638364832.

The previous prime is 2678787031. The next prime is 2678787061. The reversal of 2678787049 is 9407878762.

The square root of 2678787049 is 51757.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 303979225 + 2374807824 = 17435^2 + 48732^2 .

It is not a de Polignac number, because 2678787049 - 211 = 2678785001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2678786984 and 2678787002.

It is not an unprimeable number, because it can be changed into a prime (2678787079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3777907 + ... + 3778615.

It is an arithmetic number, because the mean of its divisors is an integer number (302202397).

Almost surely, 22678787049 is an apocalyptic number.

2678787049 is the 51757-th square number.

2678787049 is the 25879-th centered octagonal number.

It is an amenable number.

2678787049 is a deficient number, since it is larger than the sum of its proper divisors (41034524).

2678787049 is an frugal number, since it uses more digits than its factorization.

2678787049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 58.

The cubic root of 2678787049 is about 1388.8203246084.

The spelling of 2678787049 in words is "two billion, six hundred seventy-eight million, seven hundred eighty-seven thousand, forty-nine".

Divisors: 1 73 709 5329 51757 502681 3778261 36695713 2678787049