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2048407829 = 13293537781
BaseRepresentation
bin111101000011000…
…0011100100010101
312021202102220021122
41322012003210111
513143343022304
6535132253325
7101522115326
oct17206034425
95252386248
102048407829
11961300136
12492011245
132684c5b50
1415609a44d
15bec759be
hex7a183915

2048407829 has 8 divisors (see below), whose sum is σ = 2213510712. Its totient is φ = 1884381120.

The previous prime is 2048407793. The next prime is 2048407859. The reversal of 2048407829 is 9287048402.

It can be written as a sum of positive squares in 4 ways, for example, as 543123025 + 1505284804 = 23305^2 + 38798^2 .

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 2048407829 - 216 = 2048342293 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2048407829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048407859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265082 + ... + 272699.

It is an arithmetic number, because the mean of its divisors is an integer number (276688839).

Almost surely, 22048407829 is an apocalyptic number.

It is an amenable number.

2048407829 is a deficient number, since it is larger than the sum of its proper divisors (165102883).

2048407829 is a wasteful number, since it uses less digits than its factorization.

2048407829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538087.

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 2048407829 is about 45259.3396880688. The cubic root of 2048407829 is about 1270.0051313162.

The spelling of 2048407829 in words is "two billion, forty-eight million, four hundred seven thousand, eight hundred twenty-nine".

Divisors: 1 13 293 3809 537781 6991153 157569833 2048407829