Search a number
-
+
4126780049 = 7284220001
BaseRepresentation
bin1111010111111001…
…1010101010010001
3101122121021010222112
43311332122222101
531422423430144
61521255115105
7204160023500
oct36576325221
911577233875
104126780049
111828506a27
12972072a95
13509c806b2
142b2116837
1519246999e
hexf5f9aa91

4126780049 has 6 divisors (see below), whose sum is σ = 4800540114. Its totient is φ = 3537240000.

The previous prime is 4126780027. The next prime is 4126780061. The reversal of 4126780049 is 9400876214.

It can be written as a sum of positive squares in only one way, i.e., 4125749824 + 1030225 = 64232^2 + 1015^2 .

It is not a de Polignac number, because 4126780049 - 224 = 4110002833 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4126779988 and 4126780015.

It is not an unprimeable number, because it can be changed into a prime (4126780079) 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 5 ways as a sum of consecutive naturals, for example, 42109952 + ... + 42110049.

It is an arithmetic number, because the mean of its divisors is an integer number (800090019).

Almost surely, 24126780049 is an apocalyptic number.

4126780049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4126780049 is a deficient number, since it is larger than the sum of its proper divisors (673760065).

4126780049 is an equidigital number, since it uses as much as digits as its factorization.

4126780049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84220015 (or 84220008 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 4126780049 is about 64240.0190613297. The cubic root of 4126780049 is about 1603.9978214503.

The spelling of 4126780049 in words is "four billion, one hundred twenty-six million, seven hundred eighty thousand, forty-nine".

Divisors: 1 7 49 84220001 589540007 4126780049